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WS Review for TEST Chapter 5 Complete the expression using a fundamental identity. 1. sin u = 2. sin (-x) = 3. cot u = 2 1 5. tan x = 6. = 7. sin 2 x + cos 2 x = tan x 2 9. Write 2 equivalent forms of the following identity: 4. sec 2 = 8. cot 2 x + 1 = sec 2 u = 1 + tan 2 u 10. Use the given values to evaluate the remaining 4 trigonometric functions. csc x = 13 2 , tan x = 2 3 11. Factor the expression and use the fundamental identities to simplify. cos 2 x sec 2 x – cos 2 x 12. Use the fundamental identities to write the expression in terms of a single trigonometric expression. sec x sec x cos x cos x Identify the expression that completes the equation so that it is an identity. (Simplify) cos 2 x 1 sin u cos u 2 2 13. sin x (1 – csc x) = 14. = 15. = cos u 1 sin u 1 sin x Verify the identity. sec x csc x 16. = csc x 1 tan x 6 tan x + 5 3 = 11 tan x 4 2 5 A) x = , B) x = , 3 3 3 3 17. sin x = sec x tan x 1 sin 2 x 18. Solve: C) x = 4 5 , 3 3 D) x = 5 , 3 3 Identify the x-values that are solutions of the equation. 20. 9 cot 2 x – 9 = 0 19. 10 cos x + 5 3 = 0 21. Find the exact value of cos (15). (Show your work.) 22. Find the exact value of sine, cosine, and tangent of the angle: 23. Find the exact value of the expression: sin 13 12 2 2 cos + cos sin 3 3 6 6 24. Find all solutions of the equation in the interval [0, 2). 2 2 cos x + sin x = 2 3 6 25. Verify the identity: 3 cos x = sin x 2 26. Find the exact values of sin 2 and cos 2 using the double angle formula. 5 sin = , 0 8 2 27. Find the exact value of tan using the half angle formula: 2 cos = 56 , ≤≤ 65 2