Math 113 Test 2 5 Points each Oct. 5, 2000

Graph 1 cycle of:

1. y = 3 sin x

2. y = 5 cos (px)

3. y = tan (x / 2)

4. y = -2 sin(3x + 4)

5. y = Cos-1 x

6. y = Sin-1 2x

7. y = Tan-1 (x/2)

Evaluate:

8. Arc sin (ˆ3 / 2)

9. Arc cos (-1/2)

10. Arc tan 1

11. sin(Arc tan (3/4))

12. A ladder 16 feet tall leans against the side of a house. Find the height h from the top of the ladder to the ground if the angle of elevation of the ladder is 60° ?

13. If tan x = 2 and sin x > 0, find cos x .

14. Factor and use the appropriate trig identity to simplify: tan2 x - tan2 x sin2 x

Simplify:

15.

16. (cos u +1)(cos u -1)

17.

18.

Factor completely

19. sin2 x + (2 / csc x) + 1

20. sin u - cos2 u - 1

10 Points Bonus!

Factor and use the appropriate trig identity (s) to write as a single term.

sin4 x - cos4 x