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97. For what numbers e is f(0) tan ở not defined? finnd? 98. For what numher

97. For what numbers e is f(0) tan ở not defined? finnd? 98. For what numher

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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404 CHAPTER 6 Trigonometric Functions 2Vs 37 sin e- 5 Cos cos e- Vi 3. 35. sin e - - cos e - M sin e- cos e- Vi 40. sin e- 2. Cos I 38. sin e V3 cos e 2V5 39, sine- notndo 3 cos -- 41. sin e-- cos e- 2V2 42. sin e- 15. cose- - in quadran 4 e in quadru In Problems 3-58 find the exact value ofoch of the remaining trigonometric funcions oy w. 12 O in quadrant II 13' 44. cos e- e in quadrant IV 5' 4 cos e- 270 <<e \44 sin ở- 48. cos e- 5' 90<e< 180 13 46. sin e-- 13 e in quadrant II 42. sin e- 2 51. sin e- tan e <0 3r 3" 49. cos e- 50, sin e= 3' 2 54. csc e-3, cot e <0 - tan e> 0 4' SA sec e- 2. sin e< 0 52. cos e -- 57. tan 0- - sin e >0 sin >0 3' 55. tan e- sin e <0 56. cot e- cos e <0 4' 58. sec e = -2, tan e>0 onibnstzisbnU uoY 22 In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. 59. sin (-60) 62. sin (-135") 61. tan(-30) 60. cos (-30) 66. cos (-270) 65. sin (-90) 63. sec(-60) 64. csc (-30) 70. sin -: 67. tan( -) 68. sin (-) 69. cos -) 72. sin - ") 73. ese( -) 74. sec(-) 71. tan (-) 75. sec( -) 76. cse -) In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 80. tan 10° cot 10 77. sin 40° + cos" 40 78. sec' 18 - tan' 18 \79. sin 80° csc 80 sin 40 cos 40 K2 cot 20 - cos 20 sin 20 81. tan 40° - 83. cos 400° - sec 40 84. tan 200° - cot 20 sin (-20) 87. 25 37m 86. sec -- cos 85. sin -) ese sin 70 csc + tan 200° 88. cos (-430) tan(- 12 18 cos 380 89. If sin 8 = 0.3, find the value of: 94. Find the exact value of: sin 8 + sin (6 + 2) + sin (0 + 4) cos 1° + cos 2° + cos 3° + ... + cos 358 + cos 399 90. If cos e = 0.2, find the value of: 95. What is the domain of the sine function? 96. What is the domain of the cosine function? 97. For what numbers e is f(e) cos e + cos (8 + 2w) + cos (0 + 4) Is i 91. If tan e = 3, find the value of: - tan ở not defined? 98. For what numbers e is f(e) = cot e not defined? 99. For what numbers e is f(0) 100. For what numbers e is f(e) tan e + tan (0 + ) + tan (0 + 2m) 92. If cot 6 -2, find the value of: - sec e not defined? = cot e + cot (0 - #) + cot (8 - 2m) - csc e not defined? 101. What is the range of the sine function? 102. What is the range of the cosine function 103. What is the range of the tangent function! 93. Find the exact value of: sin 1° + sin 2° + sin 3' +. + sin 358 + sin 359 Retake Use Photo
Transcribed Image Text:404 CHAPTER 6 Trigonometric Functions 2Vs 37 sin e- 5 Cos cos e- Vi 3. 35. sin e - - cos e - M sin e- cos e- Vi 40. sin e- 2. Cos I 38. sin e V3 cos e 2V5 39, sine- notndo 3 cos -- 41. sin e-- cos e- 2V2 42. sin e- 15. cose- - in quadran 4 e in quadru In Problems 3-58 find the exact value ofoch of the remaining trigonometric funcions oy w. 12 O in quadrant II 13' 44. cos e- e in quadrant IV 5' 4 cos e- 270 <<e \44 sin ở- 48. cos e- 5' 90<e< 180 13 46. sin e-- 13 e in quadrant II 42. sin e- 2 51. sin e- tan e <0 3r 3" 49. cos e- 50, sin e= 3' 2 54. csc e-3, cot e <0 - tan e> 0 4' SA sec e- 2. sin e< 0 52. cos e -- 57. tan 0- - sin e >0 sin >0 3' 55. tan e- sin e <0 56. cot e- cos e <0 4' 58. sec e = -2, tan e>0 onibnstzisbnU uoY 22 In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. 59. sin (-60) 62. sin (-135") 61. tan(-30) 60. cos (-30) 66. cos (-270) 65. sin (-90) 63. sec(-60) 64. csc (-30) 70. sin -: 67. tan( -) 68. sin (-) 69. cos -) 72. sin - ") 73. ese( -) 74. sec(-) 71. tan (-) 75. sec( -) 76. cse -) In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 80. tan 10° cot 10 77. sin 40° + cos" 40 78. sec' 18 - tan' 18 \79. sin 80° csc 80 sin 40 cos 40 K2 cot 20 - cos 20 sin 20 81. tan 40° - 83. cos 400° - sec 40 84. tan 200° - cot 20 sin (-20) 87. 25 37m 86. sec -- cos 85. sin -) ese sin 70 csc + tan 200° 88. cos (-430) tan(- 12 18 cos 380 89. If sin 8 = 0.3, find the value of: 94. Find the exact value of: sin 8 + sin (6 + 2) + sin (0 + 4) cos 1° + cos 2° + cos 3° + ... + cos 358 + cos 399 90. If cos e = 0.2, find the value of: 95. What is the domain of the sine function? 96. What is the domain of the cosine function? 97. For what numbers e is f(e) cos e + cos (8 + 2w) + cos (0 + 4) Is i 91. If tan e = 3, find the value of: - tan ở not defined? 98. For what numbers e is f(e) = cot e not defined? 99. For what numbers e is f(0) 100. For what numbers e is f(e) tan e + tan (0 + ) + tan (0 + 2m) 92. If cot 6 -2, find the value of: - sec e not defined? = cot e + cot (0 - #) + cot (8 - 2m) - csc e not defined? 101. What is the range of the sine function? 102. What is the range of the cosine function 103. What is the range of the tangent function! 93. Find the exact value of: sin 1° + sin 2° + sin 3' +. + sin 358 + sin 359 Retake Use Photo
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