Question 1

Find the area of the sector of the circle with radius 2 inches and central angle   .

Accepted Answer

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E)

Question 2

Rewrite   in degree measure. Round to three decimal places.

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Question 3

If   , find the value of $\theta$ in degrees   without the aid of a calculator.

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Question 4

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.

Accepted Answer

A)  -0.1892 cm 
B)  0.9370 cm 
C)  12.7373 cm 
D)  -2.1640 cm 
E)  2.1400 cm 
A)  -0.1892 cm 
B)  0.9370 cm 
C)  12.7373 cm 
D)  -2.1640 cm 
E)  2.1400 cm

Question 5

Find the angle, in radians, in the figure below if   and   .

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Question 6

Use an inverse function to write $\theta$ as a function of x.

Accepted Answer

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Question 7

Sketch the graph of the given function. Make sure to include at least two periods.

Accepted Answer

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Question 8

Use an inverse function to write $\theta$as a function of x.

Accepted Answer

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Question 9

Evaluate   without using a calculator.

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Question 10

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.

Accepted Answer

A)  1.00 minutes 
B)  0.91 minutes 
C)  2.09 minutes 
D)  2.66 minutes 
E)  1.52 minutes 
A)  1.00 minutes 
B)  0.91 minutes 
C)  2.09 minutes 
D)  2.66 minutes 
E)  1.52 minutes

Question 11

Find the angle, in radians, in the figure below if   and   .

Accepted Answer

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Question 12

Determine the quadrant in which a   °   angle lies.

Accepted Answer

A)  1st quadrant 
B)  2nd quadrant 
C)  3rd quadrant 
D)  4th quadrant 
A)  1st quadrant 
B)  2nd quadrant 
C)  3rd quadrant 
D)  4th quadrant

Question 13

If   and   , determine the value of c. Round to two decimal places.

Accepted Answer

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

Question 14

Rewrite   in radian measure as a multiple of  $\pi$.

Accepted Answer

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Question 15

Find the area of the sector of the circle with radius 2 feet and central angle   .

Accepted Answer

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B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Find the exact value of   .

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Question 17

Use a calculator to evaluate   . Round your answer to four decimal places.

Accepted Answer

A)  0.8204 
B)  0.8162 
C)  20.0202 
D)  -10.3027 
E)  2.8385 
A)  0.8204 
B)  0.8162 
C)  20.0202 
D)  -10.3027 
E)  2.8385

Question 18

Determine two coterminal angles (one positive and one negative) for   .

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Question 19

Convert   to degree-decimal form. Round answer to three decimal places.

Accepted Answer

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Question 20

Determine two coterminal angles (one positive and one negative) for   .

Accepted Answer

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B)    
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D)    
E)    
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B)    
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E)

Find the area of the sector of the circle with radius 2 inches and central angle .

Rewrite in degree measure. Round to three decimal places.

If $If , find the value of \theta in degrees without the aid of a calculator.$ , find the value of $\theta$ in degrees $If , find the value of \theta in degrees without the aid of a calculator.$ without the aid of a calculator.

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.

Find the angle, in radians, in the figure below if and .

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x.$

Sketch the graph of the given function. Make sure to include at least two periods.

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x.$

Evaluate without using a calculator.

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.

Find the angle, in radians, in the figure below if and .

Determine the quadrant in which a ° angle lies.

If and , determine the value of c. Round to two decimal places.

Rewrite $Rewrite in radian measure as a multiple of \pi .$ in radian measure as a multiple of $\pi$ .

Find the area of the sector of the circle with radius 2 feet and central angle .

Find the exact value of .

Use a calculator to evaluate . Round your answer to four decimal places.

Determine two coterminal angles (one positive and one negative) for .

Convert to degree-decimal form. Round answer to three decimal places.

Determine two coterminal angles (one positive and one negative) for .

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters

Exam 5: Trigonometric Functions

Find the area of the sector of the circle with radius 2 inches and central angle .

Rewrite in degree measure. Round to three decimal places.

If , find the value of θ\thetaθ in degrees without the aid of a calculator.

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.

Find the angle, in radians, in the figure below if and .

Use an inverse function to write θ\thetaθ as a function of x.

Sketch the graph of the given function. Make sure to include at least two periods.

Use an inverse function to write θ\thetaθ as a function of x.

Evaluate without using a calculator.

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.

Find the angle, in radians, in the figure below if and .

Determine the quadrant in which a ° angle lies.

If and , determine the value of c. Round to two decimal places.

Rewrite in radian measure as a multiple of π\piπ .

Find the area of the sector of the circle with radius 2 feet and central angle .

Find the exact value of .

Use a calculator to evaluate . Round your answer to four decimal places.

Determine two coterminal angles (one positive and one negative) for .

Convert to degree-decimal form. Round answer to three decimal places.

Determine two coterminal angles (one positive and one negative) for .

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters

If $If , find the value of \theta in degrees without the aid of a calculator.$ , find the value of $\theta$ in degrees $If , find the value of \theta in degrees without the aid of a calculator.$ without the aid of a calculator.

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x.$

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x.$

Rewrite $Rewrite in radian measure as a multiple of \pi .$ in radian measure as a multiple of $\pi$ .