1. Change to radians:
a. 135°
b. -180°
2. Change to degrees:
a. 3p / 2
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. sin p
c. tan p /4
d. sec 300°
6. If u is in quadrant II, and tan u = -3,
find sin u .
7. Find two values of u for 0 ² u ²
2p that satisfy the equation.
cos u = 1/ 2
8. The angle subtended by a ship at a point on the shore is 2°. If the ship is known to have a length of 2000 ft, use the arc length formula to estimate how far the ship is from shore.
9. What is the period of ?
10. What is the amplitude of ?
Sketch the graph, indicating clearly the beginning and ending of the
period.
11. y = 4 sin(p x)
12. y = 1 - 2 cos (3x - p )
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°