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 (3 / 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