5.1-5.4 Test Review
Pre-Calculus
Solve in radians. 0 ≤ x < 2
Simplify.
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
3
20. sec2 x = 4
4. cos2(15) - sin2(15)
5. 2∙sin25∙cos25
6.
2∙cos2(35)
–1
7.
1  cos 420
2
8.
1  cos 250
2
21. 4sin2 x + 3 = 4
Solve in radians. 0 ≤ x < 2
22. sin2 x – 2sin x – 8 = 0
23. 2cos2 x + cos x = 1
Solve in degrees. 0 ≤ x < 360
24. sinx∙cos x + cos x = 0
9. 4∙sin75∙cos75
25. sin x + cos2 x = -1
10. sin273 – cos273
Solve in degrees.
11. 1 – 2sin2(34)
26. cos(2x) = 0
Prove the identity.
3
 x
27. sin   =
2
4
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
16. sin x = ½
17. cot x = -1.6
0 ≤ x < 360
Bonus. Solve. 0 ≤ x < 360
28. sin x + sin(2x) = 0
29. 4sin  2x  ∙cos  2x  = 1
30. 2tan x
1 – tan2x
= 0