Deck 4: Graphing and Inverse Functions

ملء الشاشة (f)
exit full mode
سؤال
Use your graphing calculator to graph the pair of functions for <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  together on a single coordinate system. (Make sure your calculator is set to radian mode.) <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​  <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
If If   , find sin(- θ ).<div style=padding-top: 35px> , find sin(- θ ).
سؤال
Find all values of x for which the following is true. sin x = 1

A)kπ
B) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate without using a calculator. <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the algebraic expression that is equal to cos (180° -  θ ). ​

A) <strong>Find the algebraic expression that is equal to cos (180° -  θ ). ​</strong> A)   B)-sin  θ C)sin  θ D)-cos  θ E)cos  θ <div style=padding-top: 35px>
B)-sin  θ
C)sin  θ
D)-cos  θ
E)cos  θ
سؤال
Use your graphing calculator to graph the family of functions for <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6

A)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use your graphing calculator to graph the pair of functions for <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3

A)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Prove the identity.
cos(- β )csc( - β )tan( - β )= 1
سؤال
Find all values of x for which the following is true: sec x = -1

A) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Match between columns
tan x
cot x
سؤال
Match between columns
tan x
cot x
سؤال
Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π . <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​   <div style=padding-top: 35px>

A)​ <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​   <div style=padding-top: 35px>
B)​ <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​   <div style=padding-top: 35px>
C)​ <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​   <div style=padding-top: 35px>
سؤال
Prove the identity. Prove the identity.  <div style=padding-top: 35px>
سؤال
Use your graphing calculator to graph the pair of functions for <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  together on a single coordinate system. (Make sure your calculator is set to radian mode.) <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​

A) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)   <div style=padding-top: 35px>
B) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)   <div style=padding-top: 35px>
C) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)   <div style=padding-top: 35px>
D)tan 2   θ
E) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)   <div style=padding-top: 35px>
سؤال
If <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)   <div style=padding-top: 35px> , find cos (- θ ). ​

A) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)   <div style=padding-top: 35px>
B) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)   <div style=padding-top: 35px>
C)04
D) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)   <div style=padding-top: 35px>
E) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)   <div style=padding-top: 35px>
سؤال
Find all values of x for which the following is true. sec x is undefined.

A) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Match between columns
sec x = -1
cot x = 0
سؤال
Find the algebraic expression that is equal to sin(- θ )sec( - θ )cot( - θ ). ​

A)1
B)sec( - θ )
C)csc( - θ )
D)cos( - θ )
E)sin( - θ )
سؤال
Identify the graph of the function ​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the graph of the function. y = cos 3 x

A)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the graph of the equation over the given interval. <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Give the amplitude and period of the graph. <strong>Give the amplitude and period of the graph.   ​</strong> A)Amplitude = 9, period = π . B)Amplitude = 18, period = 3 π . C)Amplitude = 9, period = 3 π . D)Amplitude = 18, period =   . E)Amplitude = 18, period = π . <div style=padding-top: 35px>

A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period = <strong>Give the amplitude and period of the graph.   ​</strong> A)Amplitude = 9, period = π . B)Amplitude = 18, period = 3 π . C)Amplitude = 9, period = 3 π . D)Amplitude = 18, period =   . E)Amplitude = 18, period = π . <div style=padding-top: 35px> .
E)Amplitude = 18, period = π .
سؤال
Match between columns
sec x = -1
cot x = 0
سؤال
Graph one complete cycle of <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . Label the axes accurately. ​

A)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​

A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. <div style=padding-top: 35px>  seconds.
B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. <div style=padding-top: 35px>  seconds.
C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. <div style=padding-top: 35px>  seconds..
D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. <div style=padding-top: 35px>  seconds.
E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. <div style=padding-top: 35px>  seconds.
سؤال
Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px> ​ ​

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read. <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Give the amplitude and period of the graph. <strong>Give the amplitude and period of the graph.  </strong> A)Amplitude = 3, period = 4 π . B)Amplitude = 4, period =   . C)Amplitude = 4, period = 4 π . D)Amplitude = 3, period = 8 π . E)Amplitude = 4, period = 8 π . <div style=padding-top: 35px>

A)Amplitude = 3, period = 4 π .
B)Amplitude = 4, period = <strong>Give the amplitude and period of the graph.  </strong> A)Amplitude = 3, period = 4 π . B)Amplitude = 4, period =   . C)Amplitude = 4, period = 4 π . D)Amplitude = 3, period = 8 π . E)Amplitude = 4, period = 8 π . <div style=padding-top: 35px> .
C)Amplitude = 4, period = 4 π .
D)Amplitude = 3, period = 8 π .
E)Amplitude = 4, period = 8 π .
سؤال
Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>  shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px> . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>
D)​ ​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   <div style=padding-top: 35px>
سؤال
Identify the graph of the function ​ y = 2cos  πx ​,  <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the graph of the equation over the given interval. <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​

A)The maximum value of I is 40 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds. <div style=padding-top: 35px>  seconds.
B)The maximum value of I is 5 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds. <div style=padding-top: 35px>  seconds.
C)The maximum value of I is 20 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds. <div style=padding-top: 35px>  seconds.
D)The maximum value of I is 40 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds. <div style=padding-top: 35px>  seconds.
E)The maximum value of I is 20 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds. <div style=padding-top: 35px>  seconds.
سؤال
Identify the graph of the function y = 4sin 2 x

A)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the graph of the function <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the graph of the function <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Sketch the graph of <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  from x = 0 to x = 2 π  by making a table using multiples of <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  for x . ​

A)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Match between columns
sin x = -1
sin x = 0
سؤال
Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>  shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px> . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the correct graph of the function: ​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>

A)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px> <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>
B)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px> <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>
C)​ ​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px> <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>
D)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px> <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>
E)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>   <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <div style=padding-top: 35px>
سؤال
The periods for <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>  and <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>  are π . The graphs of <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px> and <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>  will have periods <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>  and phase shifts <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px> , for <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px> Use these facts to identify the graph of the function ​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>
C)​   ​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Graph one complete cycle of <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px> . Label the axes accurately. ​

A)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
B)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
C)​ ​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
D)​ ​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
E)​ ​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
سؤال
Identify the graph of the function ​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8 <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8 <div style=padding-top: 35px>
Period = 8
B)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8 <div style=padding-top: 35px>    Period = 8
C)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8 <div style=padding-top: 35px>
Period = 8
D)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8 <div style=padding-top: 35px>
Period = 8
E)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8 <div style=padding-top: 35px>
Period = 8
سؤال
The periods for <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> and <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> are π . The graphs of <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> and <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  will have periods  <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  and phase shifts <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> , for <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> Use these facts to identify the graph of the function ​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the amplitude and phase shift for the equation. <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift =    <div style=padding-top: 35px>

A)Amplitude = 4 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift =    <div style=padding-top: 35px>
B)Amplitude = 1 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift =    <div style=padding-top: 35px>
C)Amplitude = 5 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift =    <div style=padding-top: 35px>
D)Amplitude = 4 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift =    <div style=padding-top: 35px>
E)Amplitude = 1 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift =    <div style=padding-top: 35px>
سؤال
Identify the graph of the function ​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>

A)​ ​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px> <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px> <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>   <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>   <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>   <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <div style=padding-top: 35px>
سؤال
Identify the graph of <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Identify the amplitude and phase shift for this equation. <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift =    <div style=padding-top: 35px>

A)Amplitude = 3 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift =    <div style=padding-top: 35px>
B)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift =    <div style=padding-top: 35px>
C)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift =    <div style=padding-top: 35px>
D)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift =    <div style=padding-top: 35px>
E)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift =    <div style=padding-top: 35px>
سؤال
Identify the graph of the equation over the given interval. <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>    Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px> ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>    ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>     ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>
E)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>    ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   <div style=padding-top: 35px>
سؤال
Identify the graph of the equation. <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​   <div style=padding-top: 35px>
C)​ ​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>

A)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
B)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
C)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
D)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
E)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
سؤال
Graph one complete cycle of the graph. Label the axes accurately and identify the period. <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px>

A)​ ​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px> <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px>
B)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px> <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px>
C)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px> <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px>
D)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px> <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px>
E)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px> <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <div style=padding-top: 35px>
سؤال
Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
E)​ ​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
سؤال
Graph one complete cycle of <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   <div style=padding-top: 35px> . Label the axes accurately. ​

A)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   <div style=padding-top: 35px>
C)​​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Using the graph of <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  for reference, select the correct graph for <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
​ ​

A)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
E)​ ​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the equation of the line. Write your answer in slope-intercept form, Find the equation of the line. Write your answer in slope-intercept form,   .  <div style=padding-top: 35px> . Find the equation of the line. Write your answer in slope-intercept form,   .  <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​

A) <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the equation of the line. Write your answer in slope-intercept form, <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​
<strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.  <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>

A)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
B)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
C)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
D)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
E)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   <div style=padding-top: 35px>
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Deck 4: Graphing and Inverse Functions
1
Use your graphing calculator to graph the pair of functions for <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​    together on a single coordinate system. (Make sure your calculator is set to radian mode.) <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
​
2
Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​  <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​</strong> A)​   B)​   C)​   D)​   E)​
​
3
If If   , find sin(- θ ). , find sin(- θ ).
4
Find all values of x for which the following is true. sin x = 1

A)kπ
B) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)
C) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)
D) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)
E) <strong>Find all values of x for which the following is true. sin x = 1 ​</strong> A)kπ B)   C)   D)   E)
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افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
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k this deck
5
Evaluate without using a calculator. <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate without using a calculator.   ​</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
6
Find the algebraic expression that is equal to cos (180° -  θ ). ​

A) <strong>Find the algebraic expression that is equal to cos (180° -  θ ). ​</strong> A)   B)-sin  θ C)sin  θ D)-cos  θ E)cos  θ
B)-sin  θ
C)sin  θ
D)-cos  θ
E)cos  θ
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افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
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k this deck
7
Use your graphing calculator to graph the family of functions for <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6

A)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use your graphing calculator to graph the family of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin  x for A = 1, 4, 6 ​</strong> A)​   B)​   C)​   D)​   E)​
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8
Use your graphing calculator to graph the pair of functions for <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3

A)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use your graphing calculator to graph the pair of functions for   . (Make sure your calculator is set to radian mode.) y = cos  Bx for B = 1, 3 ​</strong> A)​   B)​   C)​   D)​   E)​
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9
Prove the identity.
cos(- β )csc( - β )tan( - β )= 1
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10
Find all values of x for which the following is true: sec x = -1

A) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all values of x for which the following is true: sec x = -1 ​</strong> A)   B)   C)   D)   E)
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11
Match between columns
tan x
cot x
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12
Match between columns
tan x
cot x
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13
Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π . <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​

A)​ <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​
B)​ <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​
C)​ <strong>Sketch the graph of y = cos  x  between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .   ​</strong> A)​   B)​   C)​
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14
Prove the identity. Prove the identity.
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15
Use your graphing calculator to graph the pair of functions for <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​    together on a single coordinate system. (Make sure your calculator is set to radian mode.) <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​</strong> A)​   B)​   C)​   D)​   E)​
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16
Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​

A) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)
B) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)
C) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)
D)tan 2   θ
E) <strong>Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​</strong> A)   B)   C)   D)tan <sup>2</sup>   θ E)
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17
If <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)   , find cos (- θ ). ​

A) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)
B) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)
C)04
D) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)
E) <strong>If   , find cos (- θ ). ​</strong> A)   B)   C)04 D)   E)
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18
Find all values of x for which the following is true. sec x is undefined.

A) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)
B) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)
C) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)
D) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)
E) <strong>Find all values of x for which the following is true. sec x is undefined. ​</strong> A)   B)   C)   D)   E)
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19
Match between columns
sec x = -1
cot x = 0
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20
Find the algebraic expression that is equal to sin(- θ )sec( - θ )cot( - θ ). ​

A)1
B)sec( - θ )
C)csc( - θ )
D)cos( - θ )
E)sin( - θ )
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21
Identify the graph of the function ​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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22
Identify the graph of the function. y = cos 3 x

A)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the function. y = cos 3 x ​</strong> A)​   B)​   C)​   D)​   E)​
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23
Identify the graph of the equation over the given interval. <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
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24
Give the amplitude and period of the graph. <strong>Give the amplitude and period of the graph.   ​</strong> A)Amplitude = 9, period = π . B)Amplitude = 18, period = 3 π . C)Amplitude = 9, period = 3 π . D)Amplitude = 18, period =   . E)Amplitude = 18, period = π .

A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period = <strong>Give the amplitude and period of the graph.   ​</strong> A)Amplitude = 9, period = π . B)Amplitude = 18, period = 3 π . C)Amplitude = 9, period = 3 π . D)Amplitude = 18, period =   . E)Amplitude = 18, period = π . .
E)Amplitude = 18, period = π .
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25
Match between columns
sec x = -1
cot x = 0
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26
Graph one complete cycle of <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​   . Label the axes accurately. ​

A)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​   D)​   E)​
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27
A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​

A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.  seconds.
B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.  seconds.
C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.  seconds..
D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.  seconds.
E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is <strong>A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position. ​</strong> A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.. D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds. E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is    seconds.  seconds.
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28
Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​    shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​   ​ ​

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​
D)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​</strong> A)​   ​ B)​   C)​   D)​   E)​
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29
Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read. <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​

A)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
B)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
C)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
D)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
E)​ <strong>Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
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30
Give the amplitude and period of the graph. <strong>Give the amplitude and period of the graph.  </strong> A)Amplitude = 3, period = 4 π . B)Amplitude = 4, period =   . C)Amplitude = 4, period = 4 π . D)Amplitude = 3, period = 8 π . E)Amplitude = 4, period = 8 π .

A)Amplitude = 3, period = 4 π .
B)Amplitude = 4, period = <strong>Give the amplitude and period of the graph.  </strong> A)Amplitude = 3, period = 4 π . B)Amplitude = 4, period =   . C)Amplitude = 4, period = 4 π . D)Amplitude = 3, period = 8 π . E)Amplitude = 4, period = 8 π . .
C)Amplitude = 4, period = 4 π .
D)Amplitude = 3, period = 8 π .
E)Amplitude = 4, period = 8 π .
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Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​    shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​   . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​
D)​ ​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​ ​   E)​
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Identify the graph of the function ​ y = 2cos  πx ​,  <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the function ​ y = 2cos  πx ​,    ​</strong> A)​   B)​   C)​   D)​   E)​
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Identify the graph of the equation over the given interval. <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
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The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​

A)The maximum value of I is 40 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds.  seconds.
B)The maximum value of I is 5 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds.  seconds.
C)The maximum value of I is 20 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds.  seconds.
D)The maximum value of I is 40 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds.  seconds.
E)The maximum value of I is 20 amperes; one complete cycle takes <strong>The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle. ​</strong> A)The maximum value of I is 40 amperes; one complete cycle takes    seconds. B)The maximum value of I is 5 amperes; one complete cycle takes    seconds. C)The maximum value of I is 20 amperes; one complete cycle takes    seconds. D)The maximum value of I is 40 amperes; one complete cycle takes    seconds. E)The maximum value of I is 20 amperes; one complete cycle takes    seconds.  seconds.
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Identify the graph of the function y = 4sin 2 x

A)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the function y = 4sin 2 x ​</strong> A)​   B)​   C)​   D)​   E)​
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Identify the graph of the function <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
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Identify the graph of the function <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the function   ​</strong> A)​   B)​   C)​   D)​   E)​
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Sketch the graph of <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​    from x = 0 to x = 2 π  by making a table using multiples of <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​    for x . ​

A)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​</strong> A)​   B)​   C)​   D)​   E)​
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Match between columns
sin x = -1
sin x = 0
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Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​    shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​   . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
D)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   ​ C)​   D)​   E)​
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Identify the correct graph of the function: ​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​    

A)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​    
B)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​    
C)​ ​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​    
D)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​       <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​    
E)​ <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​         <strong>Identify the correct graph of the function: ​   ​</strong> A)​     ​ B)​   ​   C)​ ​     D)​     E)​    
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The periods for <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​    and <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​    are π . The graphs of <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   and <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​    will have periods <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​    and phase shifts <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   , for <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​   Use these facts to identify the graph of the function ​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​

A)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​
B)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​
C)​   ​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​
D)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​
E)​ <strong>The periods for    and    are π . The graphs of   and    will have periods    and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   ​   D)​   E)​
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Graph one complete cycle of <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​   . Label the axes accurately. ​

A)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
B)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
C)​ ​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
D)​ ​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
E)​ ​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
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Identify the graph of the function ​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8

A)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8
Period = 8
B)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8    Period = 8
C)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8
Period = 8
D)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8
Period = 8
E)​ <strong>Identify the graph of the function ​   ​</strong> A)​   ​ Period = 8 B)​      Period = 8 C)​   ​ Period = 8 D)​   ​ Period = 8 E)​   ​ Period = 8
Period = 8
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The periods for <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   and <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   are π . The graphs of <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   and <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​    will have periods  <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​    and phase shifts <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   , for <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​   Use these facts to identify the graph of the function ​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>The periods for   and   are π . The graphs of   and    will have periods     and phase shifts   , for   Use these facts to identify the graph of the function ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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46
Identify the amplitude and phase shift for the equation. <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift = 

A)Amplitude = 4 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift = 
B)Amplitude = 1 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift = 
C)Amplitude = 5 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift = 
D)Amplitude = 4 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift = 
E)Amplitude = 1 Phase shift =  <strong>Identify the amplitude and phase shift for the equation.   ​</strong> A)Amplitude = 4 Phase shift =    B)Amplitude = 1 Phase shift =    C)Amplitude = 5 Phase shift =    D)Amplitude = 4 Phase shift =    E)Amplitude = 1 Phase shift = 
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47
Identify the graph of the function ​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​    

A)​ ​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​    
B)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​       <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​    
C)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​         <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​    
D)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​         <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​    
E)​ <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​         <strong>Identify the graph of the function ​   ​</strong> A)​ ​     B)​     C)​       D)​       E)​    
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48
Identify the graph of <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of   ​</strong> A)​   B)​   C)​   D)​   E)​
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49
Identify the amplitude and phase shift for this equation. <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift = 

A)Amplitude = 3 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift = 
B)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift = 
C)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift = 
D)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift = 
E)Amplitude = 2 Phase shift =  <strong>Identify the amplitude and phase shift for this equation.   ​</strong> A)Amplitude = 3 Phase shift =    B)Amplitude = 2 Phase shift =    C)Amplitude = 2 Phase shift =    D)Amplitude = 2 Phase shift =    E)Amplitude = 2 Phase shift = 
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50
Identify the graph of the equation over the given interval. <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Identify the graph of the equation over the given interval.   ​</strong> A)​   B)​   C)​   D)​   E)​
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51
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​    on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph    on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​
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52
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =      Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =   ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =      ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =       ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =
E)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =      ​ Phase Shift = <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.   ​</strong> A)​      Phase Shift =   B)​   ​ Phase Shift =   C)​      ​ Phase Shift =   D)​       ​ Phase Shift =   E)​      ​ Phase Shift =
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53
Identify the graph of the equation. <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​

A)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​
B)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​
C)​ ​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​
D)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​
E)​ <strong>Identify the graph of the equation.   ​</strong> A)​   B)​   C)​ ​   D)​   E)​
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54
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​

A)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
B)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
C)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
D)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
E)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
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55
Graph one complete cycle of the graph. Label the axes accurately and identify the period. <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​

A)​ ​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​
B)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​
C)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​
D)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​
E)​ <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​   <strong>Graph one complete cycle of the graph. Label the axes accurately and identify the period.   ​</strong> A)​ ​   ​   B)​   ​   C)​   ​   D)​   ​   E)​   ​
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56
Use the graph of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​    shown below to identify the graph of one complete cycle of the equation <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​   . <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​</strong> A)​   B)​   C)​   D)​   E)​
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57
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
E)​ ​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
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58
Graph one complete cycle of <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​   . Label the axes accurately. ​

A)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​
B)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​
C)​​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​
D)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​
E)​ <strong>Graph one complete cycle of   . Label the axes accurately. ​</strong> A)​   B)​   C)​​   D)​   E)​
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59
Using the graph of <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​    for reference, select the correct graph for <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​   . ​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​
​ ​

A)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Using the graph of    for reference, select the correct graph for   . ​   ​ ​</strong> A)​   B)​   C)​   D)​   E)​
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60
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system. <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​

A)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
B)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
C)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
D)​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
E)​ ​ <strong>For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.   ​</strong> A)​   B)​   C)​   D)​   E)​ ​
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61
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
62
Find the equation of the line. Write your answer in slope-intercept form, Find the equation of the line. Write your answer in slope-intercept form,   .  . Find the equation of the line. Write your answer in slope-intercept form,   .
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
63
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
64
The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​

A) <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel. ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
65
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
66
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)
B) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)
C) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)
D) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)
E) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)   C)   D)   E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
67
Find the equation of the line. Write your answer in slope-intercept form, <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​   . <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find the equation of the line. Write your answer in slope-intercept form,   .   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
68
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
69
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​
<strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
70
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
71
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
72
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
73
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
74
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
75
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
76
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
77
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)​   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
78
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
79
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​</strong> A)   B)​   C)​   D)​   E)​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
80
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​

A)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
B)​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
C)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
D)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
E)​ ​ <strong>Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.   ​</strong> A)​   B)​   C)​ ​   D)​ ​   E)​ ​
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.
فتح الحزمة
k this deck
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فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 156 في هذه المجموعة.