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Accelerated Math 3 Name__________________________ Unit 6: Identities Test Review Find the following using trigonometric identities. Assume is in quadrant I. 1 1. If sec = 3, find tan . 2. If cot = , find sin . 5 3. 7 If csc = , find sin . 5 4. If csc = 2, find cos . 6. tan x csc x 1 tan 2 x Simplify. 5. cos2x tan x csc x Find the exact value using sum/difference or half-angle identities. 7. sin 15 8. tan 105 Prouve the following identités (A) cos2β∙tan2β + cos2β = 1 (B) (D) cos A sin A tan A cot 2 A (E) 9. 11. 1 tan 2 x tan 2 x 2 1 cot x 1 cos A sin A sin A 1 cos A (C) sec csc tan 10. 12. 13. If α and β are measures of two first quadrant angles, find the exact value of each function. 13. If sin α = 12 24 and cos β = , find cos (α + β). 13 25 14. If cos α = 3 8 and sin β = , find tan (α – β). 5 17 15. If csc α = 25 5 and sec β = , find sin (α – β). 7 4 If α and β are the measures of two first quadrant angles, and if sin α = 16. 12 , find the exact value of each of the following. 13 sin 2α 17. cos 2β 18. tan and cos β = α 2 19. Solve for values of such that 0 < 360. 20. 4cos2 - 1 = 0 21. 22. 2sin2θ = sin + 1 24. tan 3x = √3 sin β 2 3 sec θ + 2 = 0 23. 2cos2 = cos 25. sin 2x = -√2/2 4 5