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Name:________________________________Date:____________________________ Trigonometry Review 1.1-1.4 Find the reference angle for the following angles. 1. = 300 2. = 2.3 4. = 2π 3 3. = -135 Solve the following problems. 5. Let (-3,4) be a point on the terminal side of . Find sin , cos , and tan . sin = cos = tan = 6. Determine the exact value of the six trig. functions of if the terminal side of passes through the point (4,3). sin = cos = tan = csc = sec = cot = 7. Find the exact values of the six trigonometric functions of given the fact that sin = 3/5 and lies in quadrant II. sin = cos = tan = csc = sec = cot = Find two solutions to the following equations given 0 < < 360. 8. 9. 1 -1 sin = sin = 2 2 10. 23 csc = 3 Find two solutions to the following equations given 0 < < 2π. 11. cot = -1 12. tan = 1 Determine two coterminal angles (one positive and one negative) for the following angles. Positive coterminal angle Negative coterminal angle 13. = 35 14. = 3 6 Determine the positive complement and supplement of the following angles. Complement 15. = 42 Supplement 16. = 4 Convert the following angles from radians to degrees without the use of a calculator. 17. = 2 18. = 5 19. =4 6 11 7 Convert the following angles from degrees to radians without the use of a calculator. 20. = 50 21. = 320 22. = 400 Convert the following angles to Degrees, Minutes, Seconds. 23. = 389.501 24. = 221.689 25. = -98.690 26. 6.59 Convert the following angles to decimal degrees. 27. = 6242’24” 28. = -1010” Convert the following angles to radians with the aid of a calculator. 29. = 200 30. = -42 Convert the following angles to degrees with the aid of a calculator. 31. = 5 32. = -4.2 Find the third side of the following triangle. 33. 13 5 Find the values of the six trigonometric functions of given the following information. Be sure to reduce all answers. 34. 6 sin = 8 cos = tan = csc = sec = cot = 35. 6 5 sin = cos = tan = csc = sec = cot = Sketch a right triangle corresponding to the trigonometric function of the acute angle . Then determine the other five trigonometric functions of . 36. sin = 3 4 cos = tan = csc = sec = cot = tan = csc = sec = cot = cos = tan = csc = sec = 37. cos = 1 2 sin = 38. cot = 5 sin = Solve the following real life situations using your knowledge of right triangle trigonometry. 39. A steel cable zip-line is being constructed for a competition on a reality TV show. One end of the zip-line is attached to a platform on top of a 160 foot pole. The other end of the zip-line is attached to the top of a 6 foot stake. The angle of elevation to the platform is 23. a. How long is the zip line? b. How far is the stake from the pole? 40. You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor to be 82. If the total height of the building is another 123 meters above the 86th floor, what is the approximate height of the building? Solve the following for x (exact value). 41. 42. 30 22 x 45 x 18 Determine the ordered pair that is associated with the following angles and then calculate the given trigonometric function. Angle Ordered Pair Trig. Function 43. = 120 tan = 44. = 5 4 sec = 45. = 720 cot = 46. = 4 cos = 47. = 5 6 State the quadrant in which lies. 48. sin > 0 and tan < 0. sin =