1. Change to radians:

a. 225°

b. -180°

c. 60°

d. 420°

2. Change to degrees:

a. 3p

b. p / 2

c. -2p/3

d. 5

3. Find the unknown side of the triangle and all six trig values for u.

4. Find the two unknown sides.

5. Find the trig values without using a calculator:

a. sin 60°
b. cos 225°

c. tan 2p/3

d. sec 300°

6. Find one value for u without using a calculator:

a. sec u = 2
b. sin u = - / 2
c. tan u = -1
d. cos u = / 2

7. Given that, and that sin u = 2/3, find the other five trig values of u. Hint : Draw a triangle.

8. A tree 1200 yards away subtends an angle of 1 .5°. Use the arc length formula to estimate the height of the tree in yards .

9. Find two values of u for that satisfy the equation.
sin u = 1/ 2

10. If u is in quadrant II, and cot u = -3, find sin u.

11. What is the period of (3/2) cos 3x?

12. What is the amplitude of -4 sin (x/2)?

10 Points Bonus !

An airplane, flying at an altitude of 6 miles, is on a flight path that passes directly over an observer (see figure). If u is the angle of elevation from the observer to the plane, find the distance d from the observer to the plane when u = 30°