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Math III – Unit 3A Review Name_________________________ LT #7: Convert radian and degree measures and find reference angles. 1. Convert to radians: 210 120 305 3 radians 4 3 radians 5 2. Convert to degrees 5 radians 6 3. Sketch 310 in standard position and find the reference angle. 4. Sketch 9 radians in standard position and find the reference angle. 7 LT #8: Use reference triangles to find all trig values and coordinate points. 5. Given sin 4 , if is in Quadrant II, find the sec . 5 6. Find ALL six trig values of 7 . 6 7. Find the coordinates of the point where the terminal side of angle 11 intersects the unit circle. 6 8. Find cos if is a positive angle in standard position with terminal side that passes through (2,5) . Give an exact answer. 9. For an angle measure of 6 , which trigonometric ratios are positive? 5 LT #9: Solve Trigonometric equations in degrees and radians. 10. Solve for , 0 2 , sin tan tan 11. Solve for , 0 2 , 2cos2 3cos 0 12. Solve for , 0 360 , 8sin 4 13. Solve for , 0 2 , cot 3 3 14. Solve for , 0 2 , csc 4 1 15. Solve for , 0 360 , 7sin 1 5 16. Solve for , 0 360 , csc sec 2csc 0 LT #10: Simplify expressions using trig identities. Simplify each expression. 17. sin x cot x 1 18. sec cot 19. 1 sin x 1 sin x 20. 1 sin x cot x cos x 22. tan cos sin 2 21. 2 csc x cos x cos x sin x