Question 1

Evaluate the trigonometric function using its period as an aid.

Accepted Answer

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

Question 2

Convert the angle measure to decimal degree form.

Accepted Answer

A) 346.478° 
B) 347.031° 
C) 347.522° 
D) 6.057° 
E) 19,884.558° 
A) 346.478° 
B) 347.031° 
C) 347.522° 
D) 6.057° 
E) 19,884.558° C

Question 3

Determine the quadrant in which the angle lies.

Accepted Answer

A) Quadrant II 
B) Quadrant I 
C) Quadrant III 
D) Quadrant IV 
A) Quadrant II 
B) Quadrant I 
C) Quadrant III 
D) Quadrant IV B

Question 4

Sketch the angle in standard position.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 5

Use the given function values and the trigonometric identities (including the cofunction identities), to find the indicated trigonometric function.   ; find

Accepted Answer

A)    
B)    
C)    
D)    
E) 1 
A)    
B)    
C)    
D)    
E) 1

Question 6

Estimate the angle to the nearest one-half radian.

Accepted Answer

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

Question 7

Evaluate the cosine of the angle without using a calculator.

Accepted Answer

A)    
B)    
C)    
D)    
E) 0 
A)    
B)    
C)    
D)    
E) 0

Question 8

Convert the angle measure to   form.-233.855°

Accepted Answer

A) -233° 51' 
B) -233° 51' 18" 
C) -233° 855' 
D) -233° 18' 51" 
E) -233° 18' 
A) -233° 51' 
B) -233° 51' 18" 
C) -233° 855' 
D) -233° 18' 51" 
E) -233° 18'

Question 9

Use a graphing utility to graph the function below. Be sure to include at least two full periods.

Accepted Answer

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

Question 10

Convert the given angle measure from radians to degrees. Round to three decimal places.

Accepted Answer

A) 0.012° 
B) 38.571° 
C) 77.143° 
D) 19.286° 
E) 840.000° 
A) 0.012° 
B) 38.571° 
C) 77.143° 
D) 19.286° 
E) 840.000°

Question 11

Use a graphing utility to graph the function below. Be sure to include at least two full periods.

Accepted Answer

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

Question 12

Determine which of the graphs below represents   .

Accepted Answer

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

Question 13

Given the graph of f(x) below, sketch the graph of   without the use of a graphing utility.

Accepted Answer

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

Question 14

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Accepted Answer

A) 0.0183 
B) 0.5000 
C) 0.9998 
D) 1.1547 
E) 0.8660 
A) 0.0183 
B) 0.5000 
C) 0.9998 
D) 1.1547 
E) 0.8660

Question 15

Find a and d for the function   such that the graph of   matches the graph below.

Accepted Answer

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

Question 16

Use a calculator to evaluate the function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.)

Accepted Answer

A) 1.0322 
B) 0.9449 
C) 1.0583 
D) 0.4756 
E) 0.3463 
A) 1.0322 
B) 0.9449 
C) 1.0583 
D) 0.4756 
E) 0.3463

Question 17

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)

Question 18

Given that   , find   .[Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle   , then use the Pythagorean Theorem to determine the third side.]

Accepted Answer

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

Question 19

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

Accepted Answer

A) 9.01 
B) 8.64 
C) 11.12 
D) 5.67 
E) 4.41 
A) 9.01 
B) 8.64 
C) 11.12 
D) 5.67 
E) 4.41

Question 20

Given that   , find   .[Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle   , then use the Pythagorean Theorem to determine the third side.]

Accepted Answer

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

Evaluate the trigonometric function using its period as an aid.

Convert the angle measure to decimal degree form.

Determine the quadrant in which the angle lies.

Sketch the angle in standard position.

Use the given function values and the trigonometric identities (including the cofunction identities), to find the indicated trigonometric function. ; find

Estimate the angle to the nearest one-half radian.

Evaluate the cosine of the angle without using a calculator.

Convert the angle measure to form.-233.855°

Use a graphing utility to graph the function below. Be sure to include at least two full periods.

Convert the given angle measure from radians to degrees. Round to three decimal places.

Use a graphing utility to graph the function below. Be sure to include at least two full periods.

Determine which of the graphs below represents ^.

Given the graph of f(x) below, sketch the graph of without the use of a graphing utility.

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Find a and d for the function such that the graph of matches the graph below.

Use a calculator to evaluate the function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.)

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

Given that , find .[Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle , then use the Pythagorean Theorem to determine the third side.]

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

Given that , find .[Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle , then use the Pythagorean Theorem to determine the third side.]

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Exam 10: Trigonometric Functions

Evaluate the trigonometric function using its period as an aid.

Convert the angle measure to decimal degree form.

Determine the quadrant in which the angle lies.

Sketch the angle in standard position.

Use the given function values and the trigonometric identities (including the cofunction identities), to find the indicated trigonometric function. ; find

Estimate the angle to the nearest one-half radian.

Evaluate the cosine of the angle without using a calculator.

Convert the angle measure to form.-233.855°

Use a graphing utility to graph the function below. Be sure to include at least two full periods.

Convert the given angle measure from radians to degrees. Round to three decimal places.

Use a graphing utility to graph the function below. Be sure to include at least two full periods.

Determine which of the graphs below represents .

Given the graph of f(x) below, sketch the graph of without the use of a graphing utility.

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Find a and d for the function such that the graph of matches the graph below.

Use a calculator to evaluate the function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.)

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

Given that , find .[Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle , then use the Pythagorean Theorem to determine the third side.]

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

Given that , find .[Hint: Sketch a right triangle corresponding to the trigonometric function of the acute angle , then use the Pythagorean Theorem to determine the third side.]

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions and Calculus

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Determine which of the graphs below represents ^.