Name:    Chapter 4 Pre Test

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

1.

Determine the quadrant in which an angle, q, lies if .

2.

Rewrite in radian measure. Round to three decimal places.
 a. b. c. d. e.

3.

Find the length of the arc, S, on a circle of radius 3 meters intercepted by a central angle of . Round to two decimal places.
 a. meters b. meters c. meters d. meters e. meters

4.

Find the area of the sector of the circle with radius 2 meters and central angle .
 a. b. c. d. e.

5.

Find the point on the unit circle that corresponds to the real number . Use your results to evaluate .
 a. b. c. d. e.

6.

Given and , determine the following.
 a. b. c. d. e. undefined

7.

Using the figure below, if , determine the exact value of x.
 a. b. c. d. e.

8.

Using the figure below, if , determine the exact value of r.
 a. b. c. d. e.

9.

The point is on the terminal side of an angle in standard position. Determine the exact value of .
 a. b. c. d. e.

10.

Determine the exact value of .
 a. b. –1 c. d. 1 e.

11.

Sketch the graph of the function below, being sure to include at least two full periods.

 a. d. b. e. c.

12.

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

13.

Which of the following functions is represented by the graph below?
 a. b. c. d. e.

14.

Use a graphing utility to graph the function below, making sure to show at least two periods.
 a. b. c. d. e.

15.

Use a graphing utility to graph the function. Describe the behavior of the function as x approaches 0.
 a. b. c. d. e.

16.

Evaluate without using a calculator.
 a. b. c. d. e.

17.

Find the exact value of .
 a. b. c. d. e.

18.

Use a graphing utility to graph the function below.
 a. b. c. d. e.

19.

If and , determine the value of . Round to two decimal places.
 a. b. c. d. e.

20.

If the sides of a rectangular solid are as shown, and , determine the angle, q, between the diagonal of the base of the solid and the diagonal of the solid. Round answer to two decimal places.
 a. b. c. d. e.