Mercer County Community College Test #3 NAME:_____________________

MAT146      PRECALC     Prof. Porter's  

_______________________________________________________________________________________

1. How could you apply what you learned from doing your regression project to what you expect to do in your future career?

2. If you travel around a unit circle that is centered at the origin, what are the (x,y) coordinates that indicate where you end up if the distance you traveled around the circle is

(x, y)=_______________

3. Find the period, amplitude, phase shift for the function f(x) = 7 sin

Period:__________________

Amplitude:______________

Phase Shift:______________

4. Graph one period of the function f(x) = 7 sin

5. 
   How tall is a tree that casts a 15 foot shadow along the ground when the sun is at an angle of elevation is 65 degrees? Give your answer to two decimal places.

Answer:________________

6. A plane traveling at an altitude of 15 miles begins to land at an angle of decline of 3 degrees. If the plane's speed is 200 miles per hour, how long will it take for the plane to reach the ground?

Answer:________________

7. Determine the value of the trig function csc

Answer:________________

8. Find the length of 5 slices of a crust of pizza that is 16 inches in diameter? (assume 8 slices a pie)

Answer:________________

9. A person on a Ferris wheel starts at 5 feet above ground level, and after 15 seconds reaches a maximum height of 35 feet above ground level. This repeats every 30 seconds. Give the values for A, B, C, and D if the sin function that models the person’s altitude is:

y = A sin (Bx + C) + D

A = _____ B = ______ C = ______ D = _____

10. Given that the sin x = 0.4 and the tan x is negative. Find cos x and tan x.

cos x = _____________

tan x = _____________

11. Why doesn’t the sin ^-1 really exist?

Answer:________________

12. Find cos ( csc ^-1 (3)) exactly

Answer:________________

13. Verify the trig identity:

cos ²x ₊ sin² x = cscx tanx cosx

14. Convert 50 degrees to radians.

Answer:________________

Convert 5 radians to degrees.

Answer:________________

15. Graph the tanx and find all solutions to tanx = 3

Answer:________________