Deck 5: Trigonometric Functions

ملء الشاشة (f)
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سؤال
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

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>
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لقلب البطاقة.
سؤال
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta  , lies if   radians.</strong> A) 4th quadrant B) 1st quadrant C) 3rd quadrant D) 2nd quadrant <div style=padding-top: 35px>  radians.

A) 4th quadrant
B) 1st quadrant
C) 3rd quadrant
D) 2nd quadrant
سؤال
If  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , find the value of θ\theta in degrees  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  without the aid of a calculator.

A)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the angle, in radians, in the figure below if <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Given the figure below, determine the value of <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> . <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>

A) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
B) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
C) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
D) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
E) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 4th quadrant C) 2nd quadrant D) 1st quadrant <div style=padding-top: 35px> ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 4th quadrant C) 2nd quadrant D) 1st quadrant <div style=padding-top: 35px> angle lies.

A) 3rd quadrant
B) 4th quadrant
C) 2nd quadrant
D) 1st quadrant
سؤال
Find (if possible) the supplement of <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px> .

A) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
B) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
C) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
D) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
E) not possible
سؤال
Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> . Round to two decimal places.

A) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
B) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
C) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
D) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
E) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
سؤال
Using the figure below, if <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , determine the exact value of x. <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Convert <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> to degree-decimal form. Round answer to three decimal places.

A) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in degree measure. Round to three decimal places.

A) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which a 141° angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 4th quadrant
D) 3rd quadrant
سؤال
Rewrite  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  in radian measure as a multiple of π\pi .

A)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in degree measure.

A) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The displacement from equilibrium of an oscillating weight suspended by a spring is given by <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) -0.1892 cm B) 0.9370 cm C) 12.7373 cm D) -2.1640 cm E) 2.1400 cm <div style=padding-top: 35px> , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) -0.1892 cm B) 0.9370 cm C) 12.7373 cm D) -2.1640 cm E) 2.1400 cm <div style=padding-top: 35px> , rounding answer to four decimal places.

A) -0.1892 cm
B) 0.9370 cm
C) 12.7373 cm
D) -2.1640 cm
E) 2.1400 cm
سؤال
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

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 area of the sector of the circle with radius 4 feet and central angle <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Given <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px> and <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px> , determine the following. <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px>
B) undefined
C) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   <div style=padding-top: 35px>
سؤال
The point <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is on the terminal side of an angle in standard position. Determine the exact value of <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

A) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The displacement from equilibrium of an oscillating weight suspended by a spring is given by <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.8921 cm B) -0.6329 cm C) -2.8361 cm D) 1.7049 cm E) -11.4839 cm <div style=padding-top: 35px> , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.8921 cm B) -0.6329 cm C) -2.8361 cm D) 1.7049 cm E) -11.4839 cm <div style=padding-top: 35px> , rounding answer to four decimal places.

A) 2.8921 cm
B) -0.6329 cm
C) -2.8361 cm
D) 1.7049 cm
E) -11.4839 cm
سؤال
Find the exact value of <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which a 174° angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
سؤال
Find (if possible) the supplement of <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px> .

A) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
B) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
C) not possible
D) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
E) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
سؤال
After leaving the runway, a plane's angle of ascent is <strong>After leaving the runway, a plane's angle of ascent is   and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.</strong> A) 2.26 minutes B) 0.90 minutes C) 0.86 minutes D) 1.57 minutes E) 2.94 minutes <div style=padding-top: 35px> and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.

A) 2.26 minutes
B) 0.90 minutes
C) 0.86 minutes
D) 1.57 minutes
E) 2.94 minutes
سؤال
Find the area of the sector of the circle with radius 2 feet and central angle <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use an inverse function to write θ\theta as a function of x.  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the angle, in radians, in the figure below if <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in degree measure.

A) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta , lies if   radians.</strong> A) 2nd quadrant B) 1st quadrant C) 4th quadrant D) 3rd quadrant <div style=padding-top: 35px>  radians.

A) 2nd quadrant
B) 1st quadrant
C) 4th quadrant
D) 3rd quadrant
سؤال
If <strong>If   and   , determine the value of b. Round to two decimal places.  </strong> A) 3.50 B) 4.04 C) 12.12 D) 14.00 E) 6.06 <div style=padding-top: 35px> and <strong>If   and   , determine the value of b. Round to two decimal places.  </strong> A) 3.50 B) 4.04 C) 12.12 D) 14.00 E) 6.06 <div style=padding-top: 35px> , determine the value of b. Round to two decimal places. <strong>If   and   , determine the value of b. Round to two decimal places.  </strong> A) 3.50 B) 4.04 C) 12.12 D) 14.00 E) 6.06 <div style=padding-top: 35px>

A) 3.50
B) 4.04
C) 12.12
D) 14.00
E) 6.06
سؤال
Given <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px> and <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px> , determine the following. <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px>

A) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px>
B) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px>
C) undefined
D) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px>
E) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 1st quadrant C) 2nd quadrant D) 4th quadrant <div style=padding-top: 35px> ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 1st quadrant C) 2nd quadrant D) 4th quadrant <div style=padding-top: 35px> angle lies.

A) 3rd quadrant
B) 1st quadrant
C) 2nd quadrant
D) 4th quadrant
سؤال
Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> . Round to two decimal places.

A) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
B) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
C) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
D) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
E) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches <div style=padding-top: 35px> inches
سؤال
Rewrite <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in degree measure. Round to three decimal places.

A) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , find the value of θ\theta in degrees  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  without the aid of a calculator.

A)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Convert <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> to degree-decimal form. Round answer to three decimal places.

A) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , determine the value of <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round to two decimal places. <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  in radian measure as a multiple of π\pi .

A)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

A) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

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
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

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
Convert <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> to degree-decimal form. Round answer to three decimal places.

A) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 13.33 B) 8.92 C) 10.80 D) 17.93 E) 16.15 <div style=padding-top: 35px> and <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 13.33 B) 8.92 C) 10.80 D) 17.93 E) 16.15 <div style=padding-top: 35px> , determine the value of c. Round to two decimal places. <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 13.33 B) 8.92 C) 10.80 D) 17.93 E) 16.15 <div style=padding-top: 35px>

A) 13.33
B) 8.92
C) 10.80
D) 17.93
E) 16.15
سؤال
Determine the quadrant in which a 130° angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
سؤال
Rewrite <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in degree measure. Round to three decimal places.

A) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find (if possible) the supplement of <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px> .

A) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
B) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
C) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
D) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible <div style=padding-top: 35px>
E) not possible
سؤال
Find the angle, in radians, in the figure below if <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
After leaving the runway, a plane's angle of ascent is <strong>After leaving the runway, a plane's angle of ascent is   and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.</strong> A) 1.00 minutes B) 0.91 minutes C) 2.09 minutes D) 2.66 minutes E) 1.52 minutes <div style=padding-top: 35px> and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.

A) 1.00 minutes
B) 0.91 minutes
C) 2.09 minutes
D) 2.66 minutes
E) 1.52 minutes
سؤال
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta , lies if   radians.</strong> A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant <div style=padding-top: 35px>  radians.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
سؤال
Given the figure below, determine the value of <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> . <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>

A) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
B) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
C) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
D) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
E) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
سؤال
The point <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is on the terminal side of an angle in standard position. Determine the exact value of <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.

A) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use an inverse function to write θ\theta as a function of x.  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  in radian measure as a multiple of π\pi .

A)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in degree measure.

A) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , determine the value of <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round to two decimal places. <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant <div style=padding-top: 35px> ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant <div style=padding-top: 35px> angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
سؤال
Using the figure below, if <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , determine the exact value of x. <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the area of the sector of the circle with radius 4 centimeters and central angle <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine two coterminal angles (one positive and one negative) for <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 10.29 B) 16.24 C) 18.56 D) 4.99 E) 4.36 <div style=padding-top: 35px> and <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 10.29 B) 16.24 C) 18.56 D) 4.99 E) 4.36 <div style=padding-top: 35px> , determine the value of c. Round to two decimal places. <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 10.29 B) 16.24 C) 18.56 D) 4.99 E) 4.36 <div style=padding-top: 35px>

A) 10.29
B) 16.24
C) 18.56
D) 4.99
E) 4.36
سؤال
Find (if possible) the complement of <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px> .

A) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
B) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
C) not possible
D) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
E) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)   <div style=padding-top: 35px>
سؤال
If  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  , find the value of θ\theta in degrees  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  without the aid of a calculator.

A)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Using the figure below, if <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , determine the exact value of x. <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Given <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px> and <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px> , determine the following. <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px>

A) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px>
B) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px>
C) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px>
D) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined <div style=padding-top: 35px>
E) undefined
سؤال
The point <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is on the terminal side of an angle in standard position. Determine the exact value of <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine the quadrant in which a 118° angle lies.

A) 1st quadrant
B) 4th quadrant
C) 2nd quadrant
D) 3rd quadrant
سؤال
The displacement from equilibrium of an oscillating weight suspended by a spring is given by <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.7845 cm B) -1.4973 cm C) -5.8257 cm D) -3.6205 cm E) 1.4460 cm <div style=padding-top: 35px> , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.7845 cm B) -1.4973 cm C) -5.8257 cm D) -3.6205 cm E) 1.4460 cm <div style=padding-top: 35px> , rounding answer to four decimal places.

A) 2.7845 cm
B) -1.4973 cm
C) -5.8257 cm
D) -3.6205 cm
E) 1.4460 cm
سؤال
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 4th quadrant B) 2nd quadrant C) 1st quadrant D) 3rd quadrant <div style=padding-top: 35px> ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 4th quadrant B) 2nd quadrant C) 1st quadrant D) 3rd quadrant <div style=padding-top: 35px> angle lies.

A) 4th quadrant
B) 2nd quadrant
C) 1st quadrant
D) 3rd quadrant
سؤال
If <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , determine the value of <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round to two decimal places. <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> . Round to two decimal places.

A) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
B) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
C) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
D) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
E) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet <div style=padding-top: 35px> feet
سؤال
Given the figure below, determine the value of <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> . <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>

A) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
B) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
C) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
D) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
E) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px> = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

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
After leaving the runway, a plane's angle of ascent is <strong>After leaving the runway, a plane's angle of ascent is   and its speed is 267 feet per second. How many minutes will it take for the airplane to climb to a height of 12,500 feet? Round answer to two decimal places.</strong> A) 0.78 minutes B) 2.83 minutes C) 2.71 minutes D) 2.11 minutes E) 2.47 minutes <div style=padding-top: 35px> and its speed is 267 feet per second. How many minutes will it take for the airplane to climb to a height of 12,500 feet? Round answer to two decimal places.

A) 0.78 minutes
B) 2.83 minutes
C) 2.71 minutes
D) 2.11 minutes
E) 2.47 minutes
سؤال
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta , lies if   .</strong> A) 3rd quadrant B) 4th quadrant C) 2nd quadrant D) 1st quadrant <div style=padding-top: 35px>  .

A) 3rd quadrant
B) 4th quadrant
C) 2nd quadrant
D) 1st quadrant
سؤال
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> without using a calculator.

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
Use an inverse function to write θ\theta as a function of x.  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 5: Trigonometric Functions
1
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

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)
2
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta  , lies if   radians.</strong> A) 4th quadrant B) 1st quadrant C) 3rd quadrant D) 2nd quadrant  radians.

A) 4th quadrant
B) 1st quadrant
C) 3rd quadrant
D) 2nd quadrant
4th quadrant
3
If  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)    , find the value of θ\theta in degrees  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)    without the aid of a calculator.

A)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
B)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
C)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
D)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
E)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)

4
Find the angle, in radians, in the figure below if <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   and <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
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5
Given the figure below, determine the value of <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   . <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =

A) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
B) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
C) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
D) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
E) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
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6
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 4th quadrant C) 2nd quadrant D) 1st quadrant ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 4th quadrant C) 2nd quadrant D) 1st quadrant angle lies.

A) 3rd quadrant
B) 4th quadrant
C) 2nd quadrant
D) 1st quadrant
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7
Find (if possible) the supplement of <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible .

A) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
B) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
C) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
D) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
E) not possible
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8
Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches . Round to two decimal places.

A) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
B) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
C) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
D) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
E) <strong>Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
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9
Using the figure below, if <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   , determine the exact value of x. <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)

A) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
B) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
C) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
D) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
E) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
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10
Convert <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   to degree-decimal form. Round answer to three decimal places.

A) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
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11
Rewrite <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   in degree measure. Round to three decimal places.

A) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
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12
Determine the quadrant in which a 141° angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 4th quadrant
D) 3rd quadrant
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13
Rewrite  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)    in radian measure as a multiple of π\pi .

A)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
B)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
C)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
D)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
E)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
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14
Rewrite <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   in degree measure.

A) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
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15
The displacement from equilibrium of an oscillating weight suspended by a spring is given by <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) -0.1892 cm B) 0.9370 cm C) 12.7373 cm D) -2.1640 cm E) 2.1400 cm , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) -0.1892 cm B) 0.9370 cm C) 12.7373 cm D) -2.1640 cm E) 2.1400 cm , rounding answer to four decimal places.

A) -0.1892 cm
B) 0.9370 cm
C) 12.7373 cm
D) -2.1640 cm
E) 2.1400 cm
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16
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

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)
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17
Find the area of the sector of the circle with radius 4 feet and central angle <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the sector of the circle with radius 4 feet and central angle   .</strong> A)   B)   C)   D)   E)
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18
Given <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   and <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)   , determine the following. <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)

A) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)
B) undefined
C) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)
D) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)
E) <strong>Given   and   , determine the following.  </strong> A)   B) undefined C)   D)   E)
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19
The point <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   is on the terminal side of an angle in standard position. Determine the exact value of <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
B) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
C) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
D) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
E) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
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20
Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

A) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
B) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
C) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
D) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
E) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
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21
The displacement from equilibrium of an oscillating weight suspended by a spring is given by <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.8921 cm B) -0.6329 cm C) -2.8361 cm D) 1.7049 cm E) -11.4839 cm , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.8921 cm B) -0.6329 cm C) -2.8361 cm D) 1.7049 cm E) -11.4839 cm , rounding answer to four decimal places.

A) 2.8921 cm
B) -0.6329 cm
C) -2.8361 cm
D) 1.7049 cm
E) -11.4839 cm
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22
Find the exact value of <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
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23
Determine the quadrant in which a 174° angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
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24
Find (if possible) the supplement of <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)   .

A) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)
B) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)
C) not possible
D) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)
E) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C) not possible D)   E)
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25
After leaving the runway, a plane's angle of ascent is <strong>After leaving the runway, a plane's angle of ascent is   and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.</strong> A) 2.26 minutes B) 0.90 minutes C) 0.86 minutes D) 1.57 minutes E) 2.94 minutes and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.

A) 2.26 minutes
B) 0.90 minutes
C) 0.86 minutes
D) 1.57 minutes
E) 2.94 minutes
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26
Find the area of the sector of the circle with radius 2 feet and central angle <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the sector of the circle with radius 2 feet and central angle   .</strong> A)   B)   C)   D)   E)
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27
Use an inverse function to write θ\theta as a function of x.  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)

A)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)
B)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)
C)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)
D)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)
E)  <strong>Use an inverse function to write  \theta as a function of x.  </strong> A)   B)   C)   D)   E)
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28
Find the angle, in radians, in the figure below if <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   and <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
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29
Rewrite <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   in degree measure.

A) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
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30
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta , lies if   radians.</strong> A) 2nd quadrant B) 1st quadrant C) 4th quadrant D) 3rd quadrant  radians.

A) 2nd quadrant
B) 1st quadrant
C) 4th quadrant
D) 3rd quadrant
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31
If <strong>If   and   , determine the value of b. Round to two decimal places.  </strong> A) 3.50 B) 4.04 C) 12.12 D) 14.00 E) 6.06 and <strong>If   and   , determine the value of b. Round to two decimal places.  </strong> A) 3.50 B) 4.04 C) 12.12 D) 14.00 E) 6.06 , determine the value of b. Round to two decimal places. <strong>If   and   , determine the value of b. Round to two decimal places.  </strong> A) 3.50 B) 4.04 C) 12.12 D) 14.00 E) 6.06

A) 3.50
B) 4.04
C) 12.12
D) 14.00
E) 6.06
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32
Given <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   and <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)   , determine the following. <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)

A) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)
B) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)
C) undefined
D) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)
E) <strong>Given   and   , determine the following.  </strong> A)   B)   C) undefined D)   E)
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33
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 1st quadrant C) 2nd quadrant D) 4th quadrant ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 3rd quadrant B) 1st quadrant C) 2nd quadrant D) 4th quadrant angle lies.

A) 3rd quadrant
B) 1st quadrant
C) 2nd quadrant
D) 4th quadrant
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34
Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches . Round to two decimal places.

A) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
B) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
C) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
D) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
E) <strong>Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of   . Round to two decimal places.</strong> A)   inches B)   inches C)   inches D)   inches E)   inches inches
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35
Rewrite <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   in degree measure. Round to three decimal places.

A) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
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36
If  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)    , find the value of θ\theta in degrees  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)    without the aid of a calculator.

A)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
B)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
C)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
D)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
E)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
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37
Convert <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   to degree-decimal form. Round answer to three decimal places.

A) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
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38
If <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   and <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   , determine the value of <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   . Round to two decimal places. <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)

A) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
B) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
C) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
D) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
E) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
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39
Rewrite  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)    in radian measure as a multiple of π\pi .

A)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
B)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
C)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
D)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
E)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
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40
Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

A) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
B) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
C) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
D) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
E) <strong>Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.</strong> A)   B)   C)   D)   E)
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41
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

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)
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42
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

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)
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43
Convert <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)   to degree-decimal form. Round answer to three decimal places.

A) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Convert   to degree-decimal form. Round answer to three decimal places.</strong> A)   B)   C)   D)   E)
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44
Find the exact value of <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
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45
If <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 13.33 B) 8.92 C) 10.80 D) 17.93 E) 16.15 and <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 13.33 B) 8.92 C) 10.80 D) 17.93 E) 16.15 , determine the value of c. Round to two decimal places. <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 13.33 B) 8.92 C) 10.80 D) 17.93 E) 16.15

A) 13.33
B) 8.92
C) 10.80
D) 17.93
E) 16.15
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46
Determine the quadrant in which a 130° angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
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47
Rewrite <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)   in degree measure. Round to three decimal places.

A) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   in degree measure. Round to three decimal places.</strong> A)   B)   C)   D)   E)
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48
Find (if possible) the supplement of <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible .

A) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
B) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
C) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
D) <strong>Find (if possible) the supplement of   .</strong> A)   B)   C)   D)   E) not possible
E) not possible
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49
Find the angle, in radians, in the figure below if <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   and <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)   . <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)

A) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
B) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
C) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
D) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
E) <strong>Find the angle, in radians, in the figure below if   and   .  </strong> A)   B)   C)   D)   E)
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50
After leaving the runway, a plane's angle of ascent is <strong>After leaving the runway, a plane's angle of ascent is   and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.</strong> A) 1.00 minutes B) 0.91 minutes C) 2.09 minutes D) 2.66 minutes E) 1.52 minutes and its speed is 266 feet per second. How many minutes will it take for the airplane to climb to a height of 14,500 feet? Round answer to two decimal places.

A) 1.00 minutes
B) 0.91 minutes
C) 2.09 minutes
D) 2.66 minutes
E) 1.52 minutes
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51
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta , lies if   radians.</strong> A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant  radians.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
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52
Given the figure below, determine the value of <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   . <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =

A) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
B) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
C) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
D) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
E) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
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53
The point <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   is on the terminal side of an angle in standard position. Determine the exact value of <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
B) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
C) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
D) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
E) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
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54
Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.

A) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)
B) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)
C) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)
D) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)
E) <strong>Find the radian measure of the central angle of the circle of radius 5 feet that intercepts an arc of length 22 feet.</strong> A)   B)   C)   D)   E)
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55
Use an inverse function to write θ\theta as a function of x.  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)

A)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
B)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
C)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
D)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
E)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
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56
Rewrite  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)    in radian measure as a multiple of π\pi .

A)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
B)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
C)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
D)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
E)  <strong>Rewrite   in radian measure as a multiple of   \pi .</strong> A)   B)   C)   D)   E)
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57
Rewrite <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)   in degree measure.

A) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   in degree measure.</strong> A)   B)   C)   D)   E)
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58
If <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   and <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   , determine the value of <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   . Round to two decimal places. <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)

A) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
B) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
C) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
D) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
E) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
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59
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant angle lies.

A) 1st quadrant
B) 2nd quadrant
C) 3rd quadrant
D) 4th quadrant
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60
Using the figure below, if <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   , determine the exact value of x. <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)

A) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
B) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
C) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
D) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
E) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
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61
Find the area of the sector of the circle with radius 4 centimeters and central angle <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the sector of the circle with radius 4 centimeters and central angle   .</strong> A)   B)   C)   D)   E)
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62
Find the exact value of <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   .</strong> A)   B)   C)   D)   E)
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63
Determine two coterminal angles (one positive and one negative) for <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)
B) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)
C) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)
D) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)
E) <strong>Determine two coterminal angles (one positive and one negative) for   .</strong> A)   B)   C)   D)   E)
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64
If <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 10.29 B) 16.24 C) 18.56 D) 4.99 E) 4.36 and <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 10.29 B) 16.24 C) 18.56 D) 4.99 E) 4.36 , determine the value of c. Round to two decimal places. <strong>If   and   , determine the value of c. Round to two decimal places.  </strong> A) 10.29 B) 16.24 C) 18.56 D) 4.99 E) 4.36

A) 10.29
B) 16.24
C) 18.56
D) 4.99
E) 4.36
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65
Find (if possible) the complement of <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)   .

A) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)
B) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)
C) not possible
D) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)
E) <strong>Find (if possible) the complement of   .</strong> A)   B)   C) not possible D)   E)
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66
If  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)    , find the value of θ\theta in degrees  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)    without the aid of a calculator.

A)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
B)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
C)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
D)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
E)  <strong>If   , find the value of  \theta  in degrees   without the aid of a calculator.</strong> A)   B)   C)   D)   E)
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67
Using the figure below, if <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)   , determine the exact value of x. <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)

A) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
B) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
C) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
D) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
E) <strong>Using the figure below, if   , determine the exact value of x.  </strong> A)   B)   C)   D)   E)
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68
Given <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined and <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined , determine the following. <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined

A) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined
B) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined
C) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined
D) <strong>Given   and   , determine the following.  </strong> A)   B)   C)   D)   E) undefined
E) undefined
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69
The point <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   is on the terminal side of an angle in standard position. Determine the exact value of <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
B) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
C) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
D) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
E) <strong>The point   is on the terminal side of an angle in standard position. Determine the exact value of   .</strong> A)   B)   C)   D)   E)
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70
Determine the quadrant in which a 118° angle lies.

A) 1st quadrant
B) 4th quadrant
C) 2nd quadrant
D) 3rd quadrant
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71
The displacement from equilibrium of an oscillating weight suspended by a spring is given by <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.7845 cm B) -1.4973 cm C) -5.8257 cm D) -3.6205 cm E) 1.4460 cm , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when <strong>The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when   , rounding answer to four decimal places.</strong> A) 2.7845 cm B) -1.4973 cm C) -5.8257 cm D) -3.6205 cm E) 1.4460 cm , rounding answer to four decimal places.

A) 2.7845 cm
B) -1.4973 cm
C) -5.8257 cm
D) -3.6205 cm
E) 1.4460 cm
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72
Determine the quadrant in which a <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 4th quadrant B) 2nd quadrant C) 1st quadrant D) 3rd quadrant ° <strong>Determine the quadrant in which a   °   angle lies.</strong> A) 4th quadrant B) 2nd quadrant C) 1st quadrant D) 3rd quadrant angle lies.

A) 4th quadrant
B) 2nd quadrant
C) 1st quadrant
D) 3rd quadrant
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73
If <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   and <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   , determine the value of <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)   . Round to two decimal places. <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)

A) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
B) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
C) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
D) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
E) <strong>If   and   , determine the value of   . Round to two decimal places.  </strong> A)   B)   C)   D)   E)
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74
Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet . Round to two decimal places.

A) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
B) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
C) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
D) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
E) <strong>Find the length of the arc, S, on a circle of radius 7 feet intercepted by a central angle of   . Round to two decimal places.</strong> A)   feet B)   feet C)   feet D)   feet E)   feet feet
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75
Given the figure below, determine the value of <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   . <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =

A) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
B) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
C) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
D) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
E) <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =   = <strong>Given the figure below, determine the value of   .  </strong> A)   =   B)   =   C)   =   D)   =   E)   =
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76
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

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)
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77
After leaving the runway, a plane's angle of ascent is <strong>After leaving the runway, a plane's angle of ascent is   and its speed is 267 feet per second. How many minutes will it take for the airplane to climb to a height of 12,500 feet? Round answer to two decimal places.</strong> A) 0.78 minutes B) 2.83 minutes C) 2.71 minutes D) 2.11 minutes E) 2.47 minutes and its speed is 267 feet per second. How many minutes will it take for the airplane to climb to a height of 12,500 feet? Round answer to two decimal places.

A) 0.78 minutes
B) 2.83 minutes
C) 2.71 minutes
D) 2.11 minutes
E) 2.47 minutes
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78
Determine the quadrant in which an angle, θ\theta , lies if  <strong>Determine the quadrant in which an angle,  \theta , lies if   .</strong> A) 3rd quadrant B) 4th quadrant C) 2nd quadrant D) 1st quadrant  .

A) 3rd quadrant
B) 4th quadrant
C) 2nd quadrant
D) 1st quadrant
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79
Evaluate <strong>Evaluate   without using a calculator.</strong> A)   B)   C)   D)   E)   without using a calculator.

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)
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80
Use an inverse function to write θ\theta as a function of x.  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)

A)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
B)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
C)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
D)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
E)  <strong>Use an inverse function to write  \theta  as a function of x.  </strong> A)   B)   C)   D)   E)
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