Name:    Chapter 5 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.
 a. b. c. d. e.

2.

Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
 a. b. c. d. e.

3.

Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
 a. b. c. d. e.

4.

Which of the following is equivalent to the given expression?
 a. b. c. d. e.

5.

If , use trigonometric substitution to write as a trigonometric function of q, where .
 a. b. c. d. e.

6.

Solve the following equation.
 a. b. c. d. e.

7.

Solve the following equation.
 a. b. c. d. e.

8.

Solve the following equation.
 a. b. c. d. e.

9.

Solve the multiple-angle equation.
 a. b. c. d. e.

10.

Use the Quadratic Formula to solve the given equation on the interval ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.
 a. b. c. d. e.

11.

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval .
 a. b. c. d. e. solution does not exist

12.

Find the exact value of the given expression.
 a. b. c. d.

13.

Find the exact value of the given expression using a sum or difference formula.
 a. b. c. d.

14.

Find the exact value of the given expression using a sum or difference formula.
 a. b. c. d.

15.

Write the given expression as the sine of an angle.
 a. b. c. d. e.

16.

Find the exact value of given that and . (Both u and v are in Quadrant II.)
 a. b. c. d. e.

17.

Find the exact value of given that and . (Both u and v are in Quadrant II.)
 a. b. c. d. e.

18.

Find the exact solutions of the given equation in the interval .
 a. b. c. d. e.

19.

Use a double-angle formula to find the exact value of when .
 a. b. c. d. e.

20.

Use the figure below to find the exact value of the given trigonometric expression.

 a. b. c. d. e.