Simplify.
Chapter 5 Test Review
Pre-Calculus
Solve in radians. 0 ≤ x < 2
1. sin35∙cos55 + cos35∙sin55
18. tan x =
2. cos85∙cos25 + sin85∙sin25
19. 5sin x + 4 = 0
3. tan25 + tan 55
1 – tan25∙tan55
Solve in degrees. 0 ≤ x < 360
4. cos2(15) - sin2(15)
5. 2∙sin25∙cos25
3
20. sec2 x = 4
21. 4sin2 x + 3 = 4
Solve in radians. 0 ≤ x < 2
2
6. 2∙cos (35) – 1
7.
1  cos 420
2
8.
1  cos 250
2
9. 4∙sin75∙cos75
10. sin273 – cos273
11. 1 – 2sin2(34)
Prove the identity.
12. 2sinxcos3x + 2sin3xcosx = sin2x
13. (cosx)(tanx + sinxcotx) = sinx + cos2x
14. (cosx – sinx)2 + (cosx + sinx)2 = 2
15. secx – sinxtanx = cosx
Solve in degrees. 0 ≤ x < 360
22. sin2 x – 2sin x – 8 = 0
23. 2cos2 x + cos x = 1
Solve in degrees.
0 ≤ x < 360
24. cos(2x) = 0
3
 x
25. sin  =
2
4
Bonus. Solve. 0 ≤ x < 360
26. sin x + sin(2x) = 0
27. 4sin  2x  ∙cos  2x  = 1
28. 2tan x
1 – tan2x
= 0
Solve the triangle.
29. A = 55°, b = 12, c = 7
30. A = 40°, B = 30°, b = 10
31. C = 30°, a = 18, c = 9
32. a = 3.2, b = 7.6, c = 6.4
16. sin x = ½
17. cot x = -1.6
Find the area of the triangle.
33. A = 47°, b = 32ft, c = 19ft
34. a = 4m, b = 5m, c = 8m