Question 1

Rewrite   in degree measure. Round to three decimal places.

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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.

Accepted Answer

A)  0.78 minutes 
B)  2.83 minutes 
C)  2.71 minutes 
D)  2.11 minutes 
E)  2.47 minutes 
A)  0.78 minutes 
B)  2.83 minutes 
C)  2.71 minutes 
D)  2.11 minutes 
E)  2.47 minutes B

Question 4

The point   is on the terminal side of an angle in standard position. Determine the exact value of   .

Accepted Answer

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

Question 5

Use the graph shown below to determine if the function is even, odd, or neither.

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 6

Evaluate   without using a calculator.

Accepted Answer

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

Question 7

The point   is on the terminal side of an angle in standard position. Determine the exact value of   .

Accepted Answer

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

Question 8

Determine the quadrant in which an angle, $\theta$, lies if   radians.

Accepted Answer

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

Question 9

Given   and   , determine the following.

Accepted Answer

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

Question 10

Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

Accepted Answer

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

Question 11

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

Accepted Answer

A)  -5.4533 
B)  -9.1457 
C)  -8.9152 
D)  -1.5216 
E)  -2.2307 
A)  -5.4533 
B)  -9.1457 
C)  -8.9152 
D)  -1.5216 
E)  -2.2307

Question 12

Evaluate   without using a calculator.

Accepted Answer

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

Question 13

Find the area of the sector of the circle with radius 4 feet and central angle   .

Accepted Answer

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

Question 14

Rewrite   in degree measure. Round to three decimal places.

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Determine the quadrant in which a   °   angle lies.

Accepted Answer

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

Question 17

The point   is on the terminal side of an angle in standard position. Determine the exact value of   .

Accepted Answer

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

Question 18

Determine the quadrant in which a 174° 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 19

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

Accepted Answer

A)  -0.1092 
B)  -0.5872 
C)  -0.0872 
D)  0.3466 
E)  -0.4034 
A)  -0.1092 
B)  -0.5872 
C)  -0.0872 
D)  0.3466 
E)  -0.4034

Question 20

Evaluate   without using a calculator.

Accepted Answer

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

Rewrite in degree measure. Round to three decimal places.

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

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.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Use the graph shown below to determine if the function is even, odd, or neither.

Evaluate without using a calculator.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Determine the quadrant in which an angle, $\theta$ , lies if $Determine the quadrant in which an angle, \theta , lies if radians.$ radians.

Given and , determine the following.

Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

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

Evaluate without using a calculator.

Find the area of the sector of the circle with radius 4 feet and central angle .

Rewrite in degree measure. Round to three decimal places.

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

Determine the quadrant in which a ° angle lies.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Determine the quadrant in which a 174° angle lies.

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

Evaluate without using a calculator.

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

Rewrite in degree measure. Round to three decimal places.

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

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.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Use the graph shown below to determine if the function is even, odd, or neither.

Evaluate without using a calculator.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Determine the quadrant in which an angle, θ\thetaθ , lies if radians.

Given and , determine the following.

Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

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

Evaluate without using a calculator.

Find the area of the sector of the circle with radius 4 feet and central angle .

Rewrite in degree measure. Round to three decimal places.

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

Determine the quadrant in which a ° angle lies.

The point is on the terminal side of an angle in standard position. Determine the exact value of .

Determine the quadrant in which a 174° angle lies.

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

Evaluate without using a calculator.

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

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

Determine the quadrant in which an angle, $\theta$ , lies if $Determine the quadrant in which an angle, \theta , lies if radians.$ radians.

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