تكلم مع الذكاء الاصطناعي
Deck 8: Trigonometric Functions
ملء الشاشة (f)
سؤال
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
cos θ = 0.63
A)
B)
C)
D)
cos θ = 0.63
A)
B)
C)
D)
سؤال
Find the exact value without using a calculator.
cot
A)
B)
C)
D)
cot
A)
B)
C)
D)
سؤال
سؤال
Find the trigonometric ratio by referring to the figure.
tan
A)
B)
C)
D)
tan
A)
B)
C)
D)
سؤال
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
sec
A) 3.8744
B) 2.0627
C) 3.8193
D) 2.0732
sec
A) 3.8744
B) 2.0627
C) 3.8193
D) 2.0732
سؤال
Find the trigonometric ratio by referring to the figure.
cot
A)
B)
C)
D)
cot
A)
B)
C)
D)
سؤال
Find the exact value without using a calculator.
cos
A)
B)
C)
D)
cos
A)
B)
C)
D)
سؤال
Find the exact value without using a calculator.
csc 60°
A)
B)
C)
D)
csc 60°
A)
B)
C)
D)
سؤال
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
cos
A) 0.8439
B) 0.9732
C) 0.9781
D) 0.8427
cos
A) 0.8439
B) 0.9732
C) 0.9781
D) 0.8427
سؤال
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
csc
A) 1.0117
B) 1.0154
C) 1.0061
D) 1.0525
csc
A) 1.0117
B) 1.0154
C) 1.0061
D) 1.0525
سؤال
Find the exact value without using a calculator.
sec
A)
B)
C)
D)
sec
A)
B)
C)
D)
سؤال
Find the trigonometric ratio by referring to the figure.
cos
A)
B)
C)
D)
cos
A)
B)
C)
D)
سؤال
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
tan θ = 7
A)
B)
C)
D)
tan θ = 7
A)
B)
C)
D)
سؤال
Find the exact value without using a calculator.
tan
A)
B)
C)
D)
tan
A)
B)
C)
D)
سؤال
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
cot
A) 0.1733
B) 1.2739
C) 1.3764
D) 0.1290
cot
A) 0.1733
B) 1.2739
C) 1.3764
D) 0.1290
سؤال
Find the exact value without using a calculator.
sin
A)
B)
C)
D)
sin
A)
B)
C)
D)
سؤال
سؤال
Find the trigonometric ratio by referring to the figure.
csc
A)
B)
C)
D)
csc
A)
B)
C)
D)
سؤال
Find the trigonometric ratio by referring to the figure.
sin
A)
B)
C)
D)
sin
A)
B)
C)
D)
سؤال
Find the trigonometric ratio by referring to the figure.
sec
A)
B)
C)
D)
sec
A)
B)
C)
D)
سؤال
Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
A =
= 4.7
A)
B)
C)
D)
lengths to one decimal place.
A =
= 4.7A)
B)
C)
D)
سؤال
Provide an appropriate response.
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Evaluate cos
A)
B)
C)
D)
Evaluate cos
A)
B)
C)
D)
سؤال
Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
B =
A)
B)
C)
D)
lengths to one decimal place.
B =
A)
B)
C)
D)
سؤال
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
sin θ = 0.2
A)
B)
C)
D)
sin θ = 0.2
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the exact value of sin
A) -1
B) 1
C)
D) 0
Find the exact value of sin
A) -1
B) 1
C)
D) 0
سؤال
Solve the problem.
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression.
The pilot of a boat sees the light from a lighthouse at an angle of elevation of 13°. The light is on the shoreline, 350 feet 
above the dock. How far (to the nearest hundred feet) is the boat from the dock?
A) 1400 feet
B) 1500 feet
C) 2100 feet
D) 1600 feet
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression.
The pilot of a boat sees the light from a lighthouse at an angle of elevation of 13°. The light is on the shoreline, 350 feet above the dock. How far (to the nearest hundred feet) is the boat from the dock?A) 1400 feet
B) 1500 feet
C) 2100 feet
D) 1600 feet
سؤال
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
cos θ = 0.9
A)
B)
C)
D)
cos θ = 0.9
A)
B)
C)
D)
سؤال
Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
b = 7.5, c = 14.9
A) A = 45, B = 45, C = 90, a = 13.2, b = 7.5, c = 14.9
B) A = 30, B = 60, C = 90, a = 12.6, b = 7.5, c = 14.9
C) A = 60, B = 30, C = 90, a = 12.9, b = 7.5, c = 14.9
D) A = 60, B = 30, C = 90, a = 11.4, b = 7.5, c = 14.9
lengths to one decimal place.
b = 7.5, c = 14.9
A) A = 45, B = 45, C = 90, a = 13.2, b = 7.5, c = 14.9
B) A = 30, B = 60, C = 90, a = 12.6, b = 7.5, c = 14.9
C) A = 60, B = 30, C = 90, a = 12.9, b = 7.5, c = 14.9
D) A = 60, B = 30, C = 90, a = 11.4, b = 7.5, c = 14.9
سؤال
Provide an appropriate response.
Evaluate sin
A)
B)
C)
D)
Evaluate sin
A)
B)
C)
D)
سؤال
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
sin θ = 0.32
A)
B)
C)
D)
sin θ = 0.32
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
سؤال
Solve the problem.
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression.
An airline passenger sees a lake at an angle of depression 
If the plane is flying at an altitude of 28,000 feet, find the
Distance from the plane to the lake to the nearest mile.
A) 90,610 miles
B) 17 miles
C) 51 miles
D) 16 miles
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression.
An airline passenger sees a lake at an angle of depression If the plane is flying at an altitude of 28,000 feet, find theDistance from the plane to the lake to the nearest mile.
A) 90,610 miles
B) 17 miles
C) 51 miles
D) 16 miles
سؤال
Provide an appropriate response.
Find the exact value of cos
A)
B) 1
C) 0
D) -1
Find the exact value of cos
A)
B) 1
C) 0
D) -1
سؤال
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
tan θ = 1.7
A)
B)
C)
D)
tan θ = 1.7
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the exact value of cos
.
A) 1
B) -1
C) 0
D)
Find the exact value of cos
.A) 1
B) -1
C) 0
D)
سؤال
Provide an appropriate response.
Evaluate cos 56π .
A)
B)
C)
D)
Evaluate cos 56π .
A)
B)
C)
D)
سؤال
Solve the problem.
An 8-foot-tall digital display showing airport arrivals and departures is mounted on a wall so that the bottom of the display is 12 feet above the floor. A woman whose eyes are 5 feet above the floor stands 42 feet away from
The wall. Find the angle
(to the nearest degree) between the top and bottom of the display as seen by the
Woman.
A)
B)
C)
D)
An 8-foot-tall digital display showing airport arrivals and departures is mounted on a wall so that the bottom of the display is 12 feet above the floor. A woman whose eyes are 5 feet above the floor stands 42 feet away from
The wall. Find the angle
(to the nearest degree) between the top and bottom of the display as seen by theWoman.
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Evaluate sin
A)
B)
C)
D)
Evaluate sin
A)
B)
C)
D)
سؤال
Find the derivative.
y =
A)
B)
C)
D)
y =
A)
B)
C)
D)
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of sin
A) -0.8712
B) -0.6225
C) 0.8712
D) 0.6225
Use a calculator to find the value (to four decimal places) of sin
A) -0.8712
B) -0.6225
C) 0.8712
D) 0.6225
سؤال
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of sin
A) 0.5588
B) 0.8116
C) 0.5843
D) 1.3891
Use a calculator to find the value (to four decimal places) of sin
A) 0.5588
B) 0.8116
C) 0.5843
D) 1.3891
سؤال
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
سؤال
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of cos
A) 0.3919
B) 0.6008
C) 0.7994
D) 0.9927
Use a calculator to find the value (to four decimal places) of cos
A) 0.3919
B) 0.6008
C) 0.7994
D) 0.9927
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Find the derivative.
y =
A)
B)
C)
D)
y =
A)
B)
C)
D)
سؤال
Use a graphing calculator to graph the function using the given viewing window parameters.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Use a calculator to find the function value to four decimal places. csc
A) 1.0105
B) 0.1450
C) 6.9688
D) 7.9688
Use a calculator to find the function value to four decimal places. csc
A) 1.0105
B) 0.1450
C) 6.9688
D) 7.9688
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of sin
A) 0.4462
B) -0.9890
C) -0.9877
D) 0.3665
Use a calculator to find the value (to four decimal places) of sin
A) 0.4462
B) -0.9890
C) -0.9877
D) 0.3665
سؤال
Provide an appropriate response.
Use a calculator to find the function value to four decimal places. cot
°
A) 0.8854
B) 0.5250
C) 0.5884
D) 1.9047
Use a calculator to find the function value to four decimal places. cot
°A) 0.8854
B) 0.5250
C) 0.5884
D) 1.9047
سؤال
Use a graphing calculator to graph the function using the given viewing window parameters.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Find the derivative.
y = 5 sin (4x - 8)
A)
B)
C)
D)
y = 5 sin (4x - 8)
A)
B)
C)
D)
سؤال
Solve the problem.
The temperature in Fairbanks
s approximated by 
temperature on day x, with x = 1 corresponding to Jan 1 and x = 365 corresponding to Dec 31. Estimate the temperature, to the nearest degree, on day 8.
A)
B)
C)
D)
The temperature in Fairbanks
s approximated by temperature on day x, with x = 1 corresponding to Jan 1 and x = 365 corresponding to Dec 31. Estimate the temperature, to the nearest degree, on day 8.A)
B)
C)
D)
سؤال
Solve the problem.
Sales of snow shovels are seasonal. Suppose the sale of snow shovels (in dollars) in Maine is approximated by s(t) = 10,000 + 10,000 cos
t, where t is time in months and t = 0 is October. What are the sales in December?
A) $17,071
B) $18,660
C) $15,000
D) $13,900
Sales of snow shovels are seasonal. Suppose the sale of snow shovels (in dollars) in Maine is approximated by s(t) = 10,000 + 10,000 cos
t, where t is time in months and t = 0 is October. What are the sales in December?A) $17,071
B) $18,660
C) $15,000
D) $13,900
سؤال
Provide an appropriate response.
Graph the function y = sin πx.
A)
B)
C)
D)
Graph the function y = sin πx.
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Graph the function
A)
B)
C)
D)
Graph the function
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the indefinite integral
A)
B) - 2 cos t - 5 sin (5t) + C
C)
D)
Find the indefinite integral
A)
B) - 2 cos t - 5 sin (5t) + C
C)
D)
سؤال
Provide an appropriate response.
The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the
fact that
, sketch the graph of f. 
The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the
fact that
, sketch the graph of f. سؤال
Provide an appropriate response.
Graph the function y = x cos x.
A)
B)
C)
D)
Graph the function y = x cos x.
A)
B)
C)
D)
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Solve the problem.
The revenue from the sale of electric blankets is seasonal, with maximum revenue in the winter. Let the revenue received from the sale of heaters be approximated by
where x is time in years,
Measured from January 1. Find R'(x) fo
r August 1st.
A)
B)
C)
D) 0
The revenue from the sale of electric blankets is seasonal, with maximum revenue in the winter. Let the revenue received from the sale of heaters be approximated by
where x is time in years,Measured from January 1. Find R'(x) fo
r August 1st.A)
B)
C)
D) 0
سؤال
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Integrate:
A)
B)
C)
D)
Integrate:
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the slope of the graph
A)
B)
C)
D)
Find the slope of the graph
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the indefinite integral
.
A) - 24 cos (6x) + C
B)
C)
D) 4 cos (6x) + C
Find the indefinite integral
.A) - 24 cos (6x) + C
B)
C)
D) 4 cos (6x) + C
سؤال
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
سؤال
Solve the problem.
The intensity of light I at time t hours after sunrise and at a depth of x feet below the ocean surface is given by
where D is the length of daylight in hours, Io is the intensity of light on the surface of the water at midday, and k is a positive constant. Assume 
In a study of the effect
Of light on ocean plants, a scientist needs to determine the minimum depth x at which a plant would never at
Any time be exposed to an intensity of light greater than 25. What is this minimum depth?
A) 385 ft
B) 108 ft
C) 139 ft
D) 65 ft
The intensity of light I at time t hours after sunrise and at a depth of x feet below the ocean surface is given by
where D is the length of daylight in hours, Io is the intensity of light on the surface of the water at midday, and k is a positive constant. Assume In a study of the effectOf light on ocean plants, a scientist needs to determine the minimum depth x at which a plant would never at
Any time be exposed to an intensity of light greater than 25. What is this minimum depth?
A) 385 ft
B) 108 ft
C) 139 ft
D) 65 ft
سؤال
Provide an appropriate response.
Use a graphing calculator to estimate
) for the given value of a. 
A) 3.2871
B)
C) 1.4726
D) 1.9726
Use a graphing calculator to estimate
) for the given value of a. A) 3.2871
B)
C) 1.4726
D) 1.9726
سؤال
Provide an appropriate response.
Find the slope of the graph
A)
B)
C)
D)
Find the slope of the graph
A)
B)
C)
D)
سؤال
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Solve the problem.
The profit for the sale of tennis rackets in a sporting goods store is given approximately by
where P(t) is profit in thousands of dollars for a week of sales t weeks after January 1. What is the rate of change of profit six weeks after the first of the year? (Express the answer to the
Nearest dollar.)
A) $1793 per week
B) $8560 per week
C) $734 per week
D) $199 per week
The profit for the sale of tennis rackets in a sporting goods store is given approximately by
where P(t) is profit in thousands of dollars for a week of sales t weeks after January 1. What is the rate of change of profit six weeks after the first of the year? (Express the answer to theNearest dollar.)
A) $1793 per week
B) $8560 per week
C) $734 per week
D) $199 per week
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العب
ملء الشاشة (f)
Deck 8: Trigonometric Functions
1
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
cos θ = 0.63
A)
B)
C)
D)
cos θ = 0.63
A)
B)
C)
D)
2
Find the exact value without using a calculator.
cot
A)
B)
C)
D)
cot
A)
B)
C)
D)
3
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
tan 0.8
A) 0.0184
B) 1.0265
C) 0.0139
D) 1.0296
tan 0.8
A) 0.0184
B) 1.0265
C) 0.0139
D) 1.0296
1.0296
4
Find the trigonometric ratio by referring to the figure.
tan
A)
B)
C)
D)
tan
A)
B)
C)
D)
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5
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
sec
A) 3.8744
B) 2.0627
C) 3.8193
D) 2.0732
sec
A) 3.8744
B) 2.0627
C) 3.8193
D) 2.0732
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6
Find the trigonometric ratio by referring to the figure.
cot
A)
B)
C)
D)
cot
A)
B)
C)
D)
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7
Find the exact value without using a calculator.
cos
A)
B)
C)
D)
cos
A)
B)
C)
D)
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8
Find the exact value without using a calculator.
csc 60°
A)
B)
C)
D)
csc 60°
A)
B)
C)
D)
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9
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
cos
A) 0.8439
B) 0.9732
C) 0.9781
D) 0.8427
cos
A) 0.8439
B) 0.9732
C) 0.9781
D) 0.8427
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10
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
csc
A) 1.0117
B) 1.0154
C) 1.0061
D) 1.0525
csc
A) 1.0117
B) 1.0154
C) 1.0061
D) 1.0525
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11
Find the exact value without using a calculator.
sec
A)
B)
C)
D)
sec
A)
B)
C)
D)
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12
Find the trigonometric ratio by referring to the figure.
cos
A)
B)
C)
D)
cos
A)
B)
C)
D)
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13
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
tan θ = 7
A)
B)
C)
D)
tan θ = 7
A)
B)
C)
D)
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14
Find the exact value without using a calculator.
tan
A)
B)
C)
D)
tan
A)
B)
C)
D)
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15
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
cot
A) 0.1733
B) 1.2739
C) 1.3764
D) 0.1290
cot
A) 0.1733
B) 1.2739
C) 1.3764
D) 0.1290
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16
Find the exact value without using a calculator.
sin
A)
B)
C)
D)
sin
A)
B)
C)
D)
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17
Use a calculator set in degree or radian mode, as appropriate, to find the value of each expression to four decimal places.
sin 0.7
A) 0.6426
B) 0.0122
C) 0.0168
D) 0.6442
sin 0.7
A) 0.6426
B) 0.0122
C) 0.0168
D) 0.6442
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18
Find the trigonometric ratio by referring to the figure.
csc
A)
B)
C)
D)
csc
A)
B)
C)
D)
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19
Find the trigonometric ratio by referring to the figure.
sin
A)
B)
C)
D)
sin
A)
B)
C)
D)
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20
Find the trigonometric ratio by referring to the figure.
sec
A)
B)
C)
D)
sec
A)
B)
C)
D)
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21
Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
A = = 4.7
A)
B)
C)
D)
lengths to one decimal place.
A =
= 4.7A)
B)
C)
D)
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22
Provide an appropriate response.
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
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23
Provide an appropriate response.
Evaluate cos
A)
B)
C)
D)
Evaluate cos
A)
B)
C)
D)
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24
Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
B =
A)
B)
C)
D)
lengths to one decimal place.
B =
A)
B)
C)
D)
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25
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
sin θ = 0.2
A)
B)
C)
D)
sin θ = 0.2
A)
B)
C)
D)
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26
Provide an appropriate response.
Find the exact value of sin
A) -1
B) 1
C)
D) 0
Find the exact value of sin
A) -1
B) 1
C)
D) 0
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27
Solve the problem.
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression. The pilot of a boat sees the light from a lighthouse at an angle of elevation of 13°. The light is on the shoreline, 350 feet above the dock. How far (to the nearest hundred feet) is the boat from the dock?
A) 1400 feet
B) 1500 feet
C) 2100 feet
D) 1600 feet
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression.
The pilot of a boat sees the light from a lighthouse at an angle of elevation of 13°. The light is on the shoreline, 350 feet above the dock. How far (to the nearest hundred feet) is the boat from the dock?A) 1400 feet
B) 1500 feet
C) 2100 feet
D) 1600 feet
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28
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
cos θ = 0.9
A)
B)
C)
D)
cos θ = 0.9
A)
B)
C)
D)
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29
Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
b = 7.5, c = 14.9
A) A = 45, B = 45, C = 90, a = 13.2, b = 7.5, c = 14.9
B) A = 30, B = 60, C = 90, a = 12.6, b = 7.5, c = 14.9
C) A = 60, B = 30, C = 90, a = 12.9, b = 7.5, c = 14.9
D) A = 60, B = 30, C = 90, a = 11.4, b = 7.5, c = 14.9
lengths to one decimal place.
b = 7.5, c = 14.9
A) A = 45, B = 45, C = 90, a = 13.2, b = 7.5, c = 14.9
B) A = 30, B = 60, C = 90, a = 12.6, b = 7.5, c = 14.9
C) A = 60, B = 30, C = 90, a = 12.9, b = 7.5, c = 14.9
D) A = 60, B = 30, C = 90, a = 11.4, b = 7.5, c = 14.9
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30
Provide an appropriate response.
Evaluate sin
A)
B)
C)
D)
Evaluate sin
A)
B)
C)
D)
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31
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
sin θ = 0.32
A)
B)
C)
D)
sin θ = 0.32
A)
B)
C)
D)
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32
Provide an appropriate response.
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
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33
Solve the problem.
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression. An airline passenger sees a lake at an angle of depression If the plane is flying at an altitude of 28,000 feet, find the
Distance from the plane to the lake to the nearest mile.
A) 90,610 miles
B) 17 miles
C) 51 miles
D) 16 miles
An angle above the horizontal is called an angle of elevation, and an angle below the horizontal is called an angle of depression.
An airline passenger sees a lake at an angle of depression If the plane is flying at an altitude of 28,000 feet, find theDistance from the plane to the lake to the nearest mile.
A) 90,610 miles
B) 17 miles
C) 51 miles
D) 16 miles
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34
Provide an appropriate response.
Find the exact value of cos
A)
B) 1
C) 0
D) -1
Find the exact value of cos
A)
B) 1
C) 0
D) -1
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35
Use a calculator to find the acute angle θ , to the nearest degree, that satisfies the equation.
tan θ = 1.7
A)
B)
C)
D)
tan θ = 1.7
A)
B)
C)
D)
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36
Provide an appropriate response.
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
Convert to radian measure. Leave your answer in terms of
A)
B)
C)
D)
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37
Provide an appropriate response.
Find the exact value of cos .
A) 1
B) -1
C) 0
D)
Find the exact value of cos
.A) 1
B) -1
C) 0
D)
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38
Provide an appropriate response.
Evaluate cos 56π .
A)
B)
C)
D)
Evaluate cos 56π .
A)
B)
C)
D)
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39
Solve the problem.
An 8-foot-tall digital display showing airport arrivals and departures is mounted on a wall so that the bottom of the display is 12 feet above the floor. A woman whose eyes are 5 feet above the floor stands 42 feet away from
The wall. Find the angle (to the nearest degree) between the top and bottom of the display as seen by the
Woman.
A)
B)
C)
D)
An 8-foot-tall digital display showing airport arrivals and departures is mounted on a wall so that the bottom of the display is 12 feet above the floor. A woman whose eyes are 5 feet above the floor stands 42 feet away from
The wall. Find the angle
(to the nearest degree) between the top and bottom of the display as seen by theWoman.
A)
B)
C)
D)
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40
Provide an appropriate response.
Evaluate sin
A)
B)
C)
D)
Evaluate sin
A)
B)
C)
D)
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41
Find the derivative.
y =
A)
B)
C)
D)
y =
A)
B)
C)
D)
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42
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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43
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of sin
A) -0.8712
B) -0.6225
C) 0.8712
D) 0.6225
Use a calculator to find the value (to four decimal places) of sin
A) -0.8712
B) -0.6225
C) 0.8712
D) 0.6225
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44
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of sin
A) 0.5588
B) 0.8116
C) 0.5843
D) 1.3891
Use a calculator to find the value (to four decimal places) of sin
A) 0.5588
B) 0.8116
C) 0.5843
D) 1.3891
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45
Find the derivative.
y = 8x sin 17x
A) 136x cos 8x + 8 sin 17x
B) -136x cos 17x + 8 sin 17x
C) 136x cos 17x + 8 sin 17x
D) 136x cos 17x + sin 17x
y = 8x sin 17x
A) 136x cos 8x + 8 sin 17x
B) -136x cos 17x + 8 sin 17x
C) 136x cos 17x + 8 sin 17x
D) 136x cos 17x + sin 17x
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46
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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47
Find the derivative.
y = 8 cos 8x
A) 8 sin 8x
B) 64 sin 8x
C) -64 sin 8x
D) -8 sin 8x
y = 8 cos 8x
A) 8 sin 8x
B) 64 sin 8x
C) -64 sin 8x
D) -8 sin 8x
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48
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of cos
A) 0.3919
B) 0.6008
C) 0.7994
D) 0.9927
Use a calculator to find the value (to four decimal places) of cos
A) 0.3919
B) 0.6008
C) 0.7994
D) 0.9927
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49
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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50
Find the derivative.
y =
A)
B)
C)
D)
y =
A)
B)
C)
D)
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51
Use a graphing calculator to graph the function using the given viewing window parameters.
A)
B)
C)
D)
A)
B)
C)
D)
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52
Provide an appropriate response.
Use a calculator to find the function value to four decimal places. csc
A) 1.0105
B) 0.1450
C) 6.9688
D) 7.9688
Use a calculator to find the function value to four decimal places. csc
A) 1.0105
B) 0.1450
C) 6.9688
D) 7.9688
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53
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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54
Provide an appropriate response.
Use a calculator to find the value (to four decimal places) of sin
A) 0.4462
B) -0.9890
C) -0.9877
D) 0.3665
Use a calculator to find the value (to four decimal places) of sin
A) 0.4462
B) -0.9890
C) -0.9877
D) 0.3665
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55
Provide an appropriate response.
Use a calculator to find the function value to four decimal places. cot °
A) 0.8854
B) 0.5250
C) 0.5884
D) 1.9047
Use a calculator to find the function value to four decimal places. cot
°A) 0.8854
B) 0.5250
C) 0.5884
D) 1.9047
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56
Use a graphing calculator to graph the function using the given viewing window parameters.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
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57
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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58
Find the derivative.
y = 5 sin (4x - 8)
A)
B)
C)
D)
y = 5 sin (4x - 8)
A)
B)
C)
D)
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59
Solve the problem.
The temperature in Fairbanks s approximated by temperature on day x, with x = 1 corresponding to Jan 1 and x = 365 corresponding to Dec 31. Estimate the temperature, to the nearest degree, on day 8.
A)
B)
C)
D)
The temperature in Fairbanks
s approximated by temperature on day x, with x = 1 corresponding to Jan 1 and x = 365 corresponding to Dec 31. Estimate the temperature, to the nearest degree, on day 8.A)
B)
C)
D)
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60
Solve the problem.
Sales of snow shovels are seasonal. Suppose the sale of snow shovels (in dollars) in Maine is approximated by s(t) = 10,000 + 10,000 cos t, where t is time in months and t = 0 is October. What are the sales in December?
A) $17,071
B) $18,660
C) $15,000
D) $13,900
Sales of snow shovels are seasonal. Suppose the sale of snow shovels (in dollars) in Maine is approximated by s(t) = 10,000 + 10,000 cos
t, where t is time in months and t = 0 is October. What are the sales in December?A) $17,071
B) $18,660
C) $15,000
D) $13,900
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61
Provide an appropriate response.
Graph the function y = sin πx.
A)
B)
C)
D)
Graph the function y = sin πx.
A)
B)
C)
D)
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62
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
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63
Provide an appropriate response.
Graph the function
A)
B)
C)
D)
Graph the function
A)
B)
C)
D)
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64
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
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65
Provide an appropriate response.
Find the indefinite integral
A)
B) - 2 cos t - 5 sin (5t) + C
C)
D)
Find the indefinite integral
A)
B) - 2 cos t - 5 sin (5t) + C
C)
D)
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66
Provide an appropriate response.
The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the
fact that , sketch the graph of f.
The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the
fact that
, sketch the graph of f. فتح الحزمة
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67
Provide an appropriate response.
Graph the function y = x cos x.
A)
B)
C)
D)
Graph the function y = x cos x.
A)
B)
C)
D)
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68
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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69
Solve the problem.
The revenue from the sale of electric blankets is seasonal, with maximum revenue in the winter. Let the revenue received from the sale of heaters be approximated by where x is time in years,
Measured from January 1. Find R'(x) fo r August 1st.
A)
B)
C)
D) 0
The revenue from the sale of electric blankets is seasonal, with maximum revenue in the winter. Let the revenue received from the sale of heaters be approximated by
where x is time in years,Measured from January 1. Find R'(x) fo
r August 1st.A)
B)
C)
D) 0
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70
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
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71
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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72
Provide an appropriate response.
Integrate:
A)
B)
C)
D)
Integrate:
A)
B)
C)
D)
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73
Provide an appropriate response.
Find the slope of the graph
A)
B)
C)
D)
Find the slope of the graph
A)
B)
C)
D)
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74
Provide an appropriate response.
Find the indefinite integral .
A) - 24 cos (6x) + C
B)
C)
D) 4 cos (6x) + C
Find the indefinite integral
.A) - 24 cos (6x) + C
B)
C)
D) 4 cos (6x) + C
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75
Provide an appropriate response.
Find the indefinite integral
A)
B)
C)
D)
Find the indefinite integral
A)
B)
C)
D)
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76
Solve the problem.
The intensity of light I at time t hours after sunrise and at a depth of x feet below the ocean surface is given by where D is the length of daylight in hours, Io is the intensity of light on the surface of the water at midday, and k is a positive constant. Assume In a study of the effect
Of light on ocean plants, a scientist needs to determine the minimum depth x at which a plant would never at
Any time be exposed to an intensity of light greater than 25. What is this minimum depth?
A) 385 ft
B) 108 ft
C) 139 ft
D) 65 ft
The intensity of light I at time t hours after sunrise and at a depth of x feet below the ocean surface is given by
where D is the length of daylight in hours, Io is the intensity of light on the surface of the water at midday, and k is a positive constant. Assume In a study of the effectOf light on ocean plants, a scientist needs to determine the minimum depth x at which a plant would never at
Any time be exposed to an intensity of light greater than 25. What is this minimum depth?
A) 385 ft
B) 108 ft
C) 139 ft
D) 65 ft
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77
Provide an appropriate response.
Use a graphing calculator to estimate ) for the given value of a.
A) 3.2871
B)
C) 1.4726
D) 1.9726
Use a graphing calculator to estimate
) for the given value of a. A) 3.2871
B)
C) 1.4726
D) 1.9726
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78
Provide an appropriate response.
Find the slope of the graph
A)
B)
C)
D)
Find the slope of the graph
A)
B)
C)
D)
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79
Find the derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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80
Solve the problem.
The profit for the sale of tennis rackets in a sporting goods store is given approximately by where P(t) is profit in thousands of dollars for a week of sales t weeks after January 1. What is the rate of change of profit six weeks after the first of the year? (Express the answer to the
Nearest dollar.)
A) $1793 per week
B) $8560 per week
C) $734 per week
D) $199 per week
The profit for the sale of tennis rackets in a sporting goods store is given approximately by
where P(t) is profit in thousands of dollars for a week of sales t weeks after January 1. What is the rate of change of profit six weeks after the first of the year? (Express the answer to theNearest dollar.)
A) $1793 per week
B) $8560 per week
C) $734 per week
D) $199 per week
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