Name:    Chapter 5 Pre 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.

Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.
 a. b. c. 3 d. e.

3.

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

4.

Rewrite as a single logarithm and then simplify the result.
 a. b. c. d. e.

5.

Use the cofunction identities to evaluate the expression below without the aid of a calculator.
 a. 0 b. c. 1 d. –1 e. 2

6.

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

7.

Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval .
 a. b. c. d. e.

8.

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

9.

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

10.

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

11.

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

12.

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

13.

Simplify the given expression algebraically.
 a. 1 b. c. d. e.

14.

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

15.

Use a double angle formula to rewrite the given expression.
 a. b. c. d. e.

16.

Use the half-angle formulas to determine the exact value of the given trigonometric expression.
 a. b. c. d. e.

17.

Use the half-angle formula to simplify the given expression.
 a. b. c. d. e.

18.

Use the product-to-sum formula to write the given product as a sum or difference.
 a. b. c. d. e.

19.

Use the sum-to-product formulas to write the given expression as a product.
 a. b. c. d. e.

20.

The range of a projectile fired at an angle q with the horizontal and with an initial velocity of feet per second is where r is measured in feet. A golfer strikes a golf ball at 120 feet per second. Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 140 feet? (Round answer to nearest angle.)
 a. 9° b. 20° c. 18° d. 5° e. 14°