# Trigonometry Worksheet by langstonwalker

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```									Trigonometry Worksheet
Use the sum/difference identities to find the exact values for
cosine, sine and tangent.

1.   75 = 30 + 45
2.   105 = 60 + 45
3.   195 = 225 - 30
4.   15 = 45 - 30
5.   165 = 135 + 30
6.   255 = 300 - 45
7.   11/12 = 3/4 + /6

Use the sum/difference identities to write the expression as the
sine, cosine, or tangent of the angle.

8. cos 25 cos 15 - sin 25 sin 15
9. sin 140 cos 50 + cos 140 sin 50
10. sin 230 cos 30 - cos 230 sin 30
11. cos 20 cos 30 - sin 20 sin 30
12. tan 325 - tan 86
1 + tan 325 tan 86
13. tan 140 - tan 60
1 – tan 140 tan 60
14. sin 3 cos 1.2 – cos 3 sin 1.2
15. cos 3x cos 2y + sin 3x sin 2y

Verify the identity.
16. sin (/2 + x) = cos x
17. sin (3 - x) = sin x
18. cos (3/2 – x) = -sin x
19. cos ( + x) = -cos x
20. sin (/6 + x) = ½ (cos x + √3 sin x)
21. cos ( - ө) + sin (/2 + ө) = 0
22. tan ( + ө) = tan ө
23. tan (/4 - ө) = 1 + tan ө
1 – tan ө

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