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404 CHAPTER6 Trigonometric Functions In Problems 35-42, sin and cos e are given. Find the exact value of each of the four remaining trigonometric functions 5 Cose Vi 2V5 37. sin e= 3. 3. cos e- 4. 3 sin -- M. sin e 40, sin e Vs cos e Vi 2 Cos 2. 2V5 38 sin e 39, sin e 41. sin e- cos e- 3. 42. sin e 3Cos IN Problemu 43-S8, find the exact value of each of the remaining trigonometric funcion oy v. 4. 45. cos d -- e in quadrun 12 O in quadrant II in quadrant IV 43 sin e 44. cos e- 13' 4 くく 48. cos e= 46. sin e - e in quadrant III 13 47. sin e- 13 く<8 51. sin e= tan e<0 3' 49. cos e- 50, sin e - 3 2 54. csc e 3. cot e<0 52. cos e -- 4' sin e<0 tan e>0 SA sec e- 2. tan e sin e>0 55. tan e sin e<0 4' 56. cot e 3 cos e<0 3' 58. sec e--2, tan e>0 gnibnstzisbnU uoY 2 In Problems 39-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. 62. sin (-135) 59. sin (-60) 60. cos (-30) 61. tan (-30) 63. sec(-60) 64. csc (-30) 65. sin (-90) 66. cos (-270) 67. tan 68. sin (-) 69. cos 70. sin 71. tan (-) 72. sin 3m 74. sec(-) 73. 75. sec 76. csel -

404 CHAPTER6 Trigonometric Functions In Problems 35-42, sin and cos e are given. Find the exact value of each of the four remaining trigonometric functions 5 Cose Vi 2V5 37. sin e= 3. 3. cos e- 4. 3 sin -- M. sin e 40, sin e Vs cos e Vi 2 Cos 2. 2V5 38 sin e 39, sin e 41. sin e- cos e- 3. 42. sin e 3Cos IN Problemu 43-S8, find the exact value of each of the remaining trigonometric funcion oy v. 4. 45. cos d -- e in quadrun 12 O in quadrant II in quadrant IV 43 sin e 44. cos e- 13' 4 くく 48. cos e= 46. sin e - e in quadrant III 13 47. sin e- 13 く<8 51. sin e= tan e<0 3' 49. cos e- 50, sin e - 3 2 54. csc e 3. cot e<0 52. cos e -- 4' sin e<0 tan e>0 SA sec e- 2. tan e sin e>0 55. tan e sin e<0 4' 56. cot e 3 cos e<0 3' 58. sec e--2, tan e>0 gnibnstzisbnU uoY 2 In Problems 39-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. 62. sin (-135) 59. sin (-60) 60. cos (-30) 61. tan (-30) 63. sec(-60) 64. csc (-30) 65. sin (-90) 66. cos (-270) 67. tan 68. sin (-) 69. cos 70. sin 71. tan (-) 72. sin 3m 74. sec(-) 73. 75. sec 76. csel -

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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