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Algebra III Academic Final Exam Review I Final Review: All Trigonometry Topics Right Triangle Trigonometry Solve the triangles that follow. 1. 2. 59 12 8 x 5 x 3. 4. 10 cm 45 36 ft 60 Unit Circle Review - Fill in your unit circle 5. Given x = 2 complete the following: 3 Sketch the angle and find the reference angle. Find the six trigonometric functions of the angle. sin csc cos sec tan cot a. Convert to degrees. 6. Given 135 complete the following: a. Sketch the angle and find the reference angle. b. Find the six trigonometric functions of the angle. c. Convert to radians. Trigonometry Review Problems Find the value of the unknown or unknowns. 1. 2. 65 8 cm x x 24 y 7 Answer the following using the given angle. 3. Given x = a. sin x = 7 find the following. 6 b. csc x = 4. Given x sin 13 find the following. 4 csc cos sec tan cot Find the exact value of the following. 5. cot –330° = _____ 6. csc –45°= _____ 7. cos 7 = _____ 4 8. csc Graph the following. 11. y = 2sinx 12. y = -4 + cos 13. Given AHS, A = 27°, H = 109° and a = 120. Find h. 14. In PQR, p = 3, q = 2 and R = 138°. Find r. 4 = _____ 9. sec 450°= _____ 3 Evaluate the following using reference angles. 15. 20 sin 60 cos 240 17. sin 2 6 cos 3 19. Find the area of MAP if m = 6, a = 9, and p = 13. 20. Use the quadratic formula to solve x2 – 14x + 58 = 0 16. cos180 cos 45 sin 180 sin 45 18. cos 2 2 2 sin 2 3 3