## Precalculus Test Out Practice Exam

Part 4 Test 2 Time: 3 hours

1. Find the exact solution(s) to the equation

2. If , find .
3. Write the following trigonometric expression as an algebraic expression in x:

4. Find two angles that have the point (5,-4) on the terminal side of the angle.
5. Building A and Building B are 100 feet apart. If the angle of depression from the top of Building A to the top of Building B is 20 degrees, how much taller is Building A than Building B?
6. Find the exact value of

7. Concerning the following function

• What is the period of the function?
• What is the amplitude of the function?
• What is the maximum value of the function?
8. Where do the graphs of the functions , and intersect on the interval [6,14]?
9. Find the approximate range of the function

10. The graph of the function

is bounded by two graphs. What are the equations of the boundary graphs?

11. What is the phase shift of the graph of

Give the answer in terms of a combination of one ore more of a, b, c, and d.

12. Restrict the domain of the function so that its inverse exists.
13. Find .
14. If point A is located at (2,3) and point B is located at (10,-14), give the bearing and distance from point A to point B.
15. In triangle ABC, angle equals 40 degrees, angle equals 30 degrees, and side AB equals 10 inches. Find the exact value of side AC.
16. Convert 150 radians to degrees in the degree-minute-second format.
17. Find the equation of the circle that passes through the points (2,3), (7,1), (9,5).
18. If , and the terminal side of t is located on the second quadrant, find ans in the interval . Find the reference angle and the real angle in terms of degrees in the degree-minute-second format.