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Chapter 15 Review Name_____________ Questions 1-2: Write an equivalent expression in simplest form. 1. sin x tan x cos x 2. sec x cot x Questions 3-6: Verify the identity. 3. cos x 1 sin x 2sec x 1 sin x cos x 4. tan 2 x sec x cos x sec x 5. cot x sin x csc x 1 cos x 6. sec2 x csc2 x sec2 x csc2 x Questions 7-10: Use sum and difference formulas to give exact answers (no calculator) 7. cos105 8. cos 12 9. sin 195 10. 13 tan 12 Questions 11-12: Find the sinx and siny and use these values to find the value of cos(x - y) under given conditions. 11. 3 4 cos x ,QIII; cos y ,QIV 5 5 12. cos 5 3 , I , cos y IV 12 2 Questions 13-14: Find the sinx and siny and use these values to find the value of sin(x + y) under given conditions. 3 ,0 x ; 2 2 cos y 5 3 , y 2 3 2 13. cos x 14. 3 3 2 2 cos x , x , cos y ,0 y 4 2 3 2 Questions 15-17: Use half angle formulas to find each function value. 15. 16. tan112.5 cos 7 12 17. sin 75 Questions 18-19: Find the sin2x for angle in given quadrant. Question 20: Find cos2x. 18. I, sin x 3 5 19. III, cos x 7 4 20. IV, cos x Questions 21-22: Prove the identity. 21. 1 cos 2 x tan 2 x 1 cos 2 x 22. sin 3x 3sin x 4sin 3 x 5 12