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Trigonometry Chapter 6 Practice Test Name__________________________ Directions: Find the exact degree measure of x. Do not use a calculator. _______ 1. y = arccos(- 3 /2) _______ 2. y = arcsin(- 3 /2) Sum & Difference Identities cos A B cos A cos B – sin A sin B cos A – B cos A cos B sin A sin B _______ 3. y = arccos(1) Double Angle Identities _______ 4. y = arctan(-1) 1 _______ 5. y = sec (1) _______ 6. y = arccsc(- 2 ) Directions: Find the exact real number value of each. 5 _______ 7. cot sec1 3 2 _______ 8. cos sin 1 2 1 _______ 9. cot( cos 1 2 _______ 10. tan( sec1 (-3)) 1 _______ 11. cot arccos 5 3 4 _______ 12. cos sin 1 cos 1 5 5 cos 2 x cos 2 x sin 2 x cos 2x 2cos 2 x 1 cos 2 x 1 sin 2 x Directions: Evaluate to 2 decimal places using a calculator. _______ 13. sec(sin 1 (-.8377)) _______14. arccot(.7) _______15. arccot(-.7) _______16. arccsc(-.2) Directions: Find all of the solutions over the indicated intervals. Find the exact solutions if possible. If not, then round your answer to two decimal places. 17. cos x 1 2 0, 2 (NO CALCULATOR) 18. sin x = -.9721 (0,360) 19. cos x = -1 (0, 360) (NO CALCULATOR) 20. 2sin 3 x 3 0 0, 2 21. 2sin 2 x 5cos x 1 0 22. cos 2 x 4cos x 2 0 (NO CALCULATOR) 0,2 0,2 23. 2sin 2 x 2sin x 7 0 24. 4 y 2sin x Solve for x in terms of y. 25. cos 1 x sin 1 26. 4 1 x tan π 3 2 0,2 2 7 (NO CALCULATOR) (NO CALCULATOR)