Math 113 Test 3 10 Points each Nov. 2, 2000

Find all solutions on the interval [0,2p)

1. 2cos x sin x - sin x = 0

2. sin2 2x = 1/4

3. sin 2x + cos x = 0

4. cos 4x - 7 cos 2x = 8

5. If sin x = -5/13, cos y = -3/5, and both x and y are in QIII, find sin (x+y).

6. Use the cosine angle sum formula to find the exact value of cos 105°.



Use the above triangle for the problems below.

7. If b = 100, C = 120°, and B = 30°, find a.

8. If b = 15, C = 30°, and a = 10, find c.

9. If a = 4, b = 2, and c = 5, find B.

10. Use Heron's formula to find the area of the triangle in problem 9.