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problems 13,15,17,27,41,55,61,63,79,87 13. 14. 0.4) (-2, 1) In Exercises 15-20, for each angle 0 in standard position, determine the quadrant where the terminal side of

problems 13,15,17,27,41,55,61,63,79,87

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13. 14. 0.4) (-2, 1) In Exercises 15-20, for each angle 0 in standard position, determine the quadrant where the terminal side of 0 lies. 15. cos 0 > 0 and sin 0 0 18. csc 0 0 and csc e 2 0 20. cot 0 0 452 Chapter 5 Trigonometric Functions In Exercises 21-32, find the reference angle for each of the given angles. 21. 120" 22. 150 23. 240 24. 290" . -1050 26. -210" 27. 400" 28. 530 29. 7 TT 30. 7 TT 31. 5 TH 4 TT 32. 3 3 3 fear 12_on find the exact value of the viven trigonometric function. If a certain value is undefined, 33, sin 150" 34. cos 240" 35. sin 225 36. sin 135" 37. cos 120" 38. sin 330" 39. sin T 40. cos 41. tan 225" 42. cot 315" 43. tan 330 14. tan 270" 45. sec 150" 46, csc 210" 47. cot 37 48. col # 49. tan 420" 50. tan 450 51. cos (-210") 52. sin (-60") 53. tan (-45") 54. tan (-150") 55. sec (-135 ) 56. cse (-210") 57. ese 180" 58. sec 540" 59. sec 2#r 60. csc 37 In Exercises 61-78, find the exact value of each expression. Simplify your answer. 61. cos 45' + sin 30" 62. sin 45' - cos 30 63. cos 120" - sin 210' 64. sin 45' + cos 135" 65. tan 120" + cot 135 66, cot 45' + tan 120" 67. cot 210" - tan 330 68. tan 180' + cot 90" 69. sec 180" + csc 270 70. esc 45" - sec 135" 71. sin -+ cos2 72. cos w + sin 73, tan " - col 4 74, tan 2# + cot 75. cos 45' cos 30" + sin 45" sin 30" 76. sin 45' cos 30" + cos 45" sin 30" 77. sin 60" cos 45" - cos 45' sin 60" 78. cos 30" cos 45' - sin 30' sin 45" Example 1 In Exercises 79-88, find the exact value of the indicated trigonometry function, using the given information. In Figure 79. sin 0 if cos 0 = : terminal side of 0 in Quadrant IV exact va 80. cos 0 if sin 0 = - : terminal side of 0 in Quadrant III metric fu 31. sec 0 if sin 0 = - Ty: terminal side of e in Quadrant III 82. csc 0 if cos 0 - - By: terminal side of # in Quadrant II 129 83. tan & if cos 0 = - j: terminal side of # in Quadrant III 84. cot @ if sin 0 = terminal side of # in Quadrant II Penelope 85. cos # if sin 0 = - 5; terminal side of @ in Quadrant IV Play 86. tan 8 if cos 0 - - : terminal side of @ in Quadrant II 87. sec 0 if sin 0 - - 0.8; terminal side of 6 in Quadrant IV 88. csc # if cos 0 = - 0.6; terminal side of # in Quadrant II Example 2 In Exercises 89-98, evaluate the trigonometric function using a calculator. Round your answers to four

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