Question 1

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 2

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

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 C

Question 3

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

Accepted Answer

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

Question 4

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

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 5

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 6

Find the exact value of   , using the triangle shown in the figure below, if   .

Accepted Answer

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

Question 7

Evaluate   without using a calculator.

Accepted Answer

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

Question 8

Determine the quadrant in which a 130° 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 9

Use the properties of inverse trigonometric functions to evaluate   .

Accepted Answer

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

Question 10

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 11

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 12

Find the exact value of   .

Accepted Answer

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

Question 13

Evaluate   without using a calculator.

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

Determine the quadrant in which a   °   angle lies.

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

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 19

Evaluate   without using a calculator.

Accepted Answer

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

Question 20

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

Accepted Answer

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

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

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.

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

Find the exact value of , using the triangle shown in the figure below, if .

Evaluate without using a calculator.

Determine the quadrant in which a 130° angle lies.

Use the properties of inverse trigonometric functions to evaluate .

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

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

Find the exact value of .

Evaluate without using a calculator.

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

Determine the quadrant in which a ° angle lies.

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

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.

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

Evaluate without using a calculator.

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

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

Algebraic Expressions and Equations

Filters

Exam 5: Trigonometric Functions

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

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

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

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

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

Find the exact value of , using the triangle shown in the figure below, if .

Evaluate without using a calculator.

Determine the quadrant in which a 130° angle lies.

Use the properties of inverse trigonometric functions to evaluate .

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

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

Find the exact value of .

Evaluate without using a calculator.

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

Determine the quadrant in which a ° angle lies.

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

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

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

Evaluate without using a calculator.

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

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

Algebraic Expressions and Equations

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

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.

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

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.