Trigonometry - Trigonometric identities.
Test Yourself 2.
Simplify the following trigonometric identities:
Basic substitutions. | 1. | |
3.
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4.Express the identity in its simplest form. |
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5. | ||
7. | 8. | |
Complementary angles. | 9. Simplify: cos (90o - θ) cosec (180o + θ)
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10.Simplify . |
Pythagorean relationships. | 11.
Answer.0 |
12. |
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13. | 14. |
Prove the following trigonometric identities:
Basic substitutions (change of defintion). |
15. | 16. |
17. | 18. Prove 2tan2 α - 2tanα secα +1 = (secα - tanα )2 |
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19. Prove tan2x cos2x + cot2x sin2x = 1 | 20. | |
Pythagorean relationships. | 21. |
22. tan x - tan x sin2 x = sin x cos x |
23. 2 sec2α - 3 = 2 tan2α - 1 | 24. | |
25. | 26. | |
27. | 28. | |
29. | 30. | |
Mixed relationships. | 31. | |
33. | ||