# MATH 108 Trig QUIZ

Please see attached file

1. (10 pts) **Simplify the expressions as much as you can.**

2. (10 pts) **Find values a and b for which the expressions take the simplest forms (can be subjective)**

3. (10 pts) **Please graph** in [0, 4*Π*]

y = 3cos(x + 3π/2)

4. (10 pts) **Find amplitude, period and phase shift **

y =.

5. (10 pts) **Find amplitude. **

y = 4 sin (x – π).

6. (10 pts) **Find period. **

** **y = 2 cos (3x + π/3)

7. (10 pts) **Find a phase shift. **

y = -4 + 3sin (5x – π/6)

8. (10 pts) **Find the exact value **

**A) in degrees.**

**B) in radians**

9. (10 pts) **Solve the problem. **(If needed draw a figure.)

In one area, the lowest angle of elevation of the sun in winter is 27.35°. Find the minimum distance x that a plant needing full sun can be placed from a fence that is 5.8 feet high. Round your answer to the **fifth place**.

10. (10 pts) ) **Solve the problem. **

A person is watching a car from the top of a building. The car is traveling on a straight road directly toward the building. When first noticed the angle of depression to the car is 28.45°. When the car stops, the angle of depression is 43.25°. The building is 290 feet tall. How far did the car travel from when it was first noticed until it stopped? Round your answer to the **hundredths place**.