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8 77-88, iise properties of the trigonometric funcions to find thie exact value of each expression. Do not use a calculator 77. sin 40 + cos' 40 78. sec' 18- tan 18 79. sin 80 cse 80 80. tan 10' cot 10 sin 40 cos 20 sin 20 81. tan 40 - 82. cot 20 cos 40 83. cos 400 sec 40 84. tan 200 cot 20 25m csc 12 37 *cos 18 sin (-20) 87. cos 380 85. sin- 86. sec- 12 18, + tan 200 88. cos (-430) sin 70 + lan(-)

8 77-88, iise properties of the trigonometric funcions to find thie exact value of each expression. Do not use a calculator 77. sin 40 + cos' 40 78. sec' 18- tan 18 79. sin 80 cse 80 80. tan 10' cot 10 sin 40 cos 20 sin 20 81. tan 40 - 82. cot 20 cos 40 83. cos 400 sec 40 84. tan 200 cot 20 25m csc 12 37 *cos 18 sin (-20) 87. cos 380 85. sin- 86. sec- 12 18, + tan 200 88. cos (-430) sin 70 + lan(-)

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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97. For what numbers 6 is f(0)- tan e not defined? In Problems 35-42, sin e and cos 6 are given. Find the exact value of each of the four remaining trigonometric functionx cos 1° + cos 2 + cos 3 + + cos 358 + cos 3 103. What is the range of the tangent function? guTometne Functions 2V5 cos Vs 35. sin e- - 37. sin 6- 3. cos e = 4 36. sin e- cos e-- 5' 1. 40. sin ở - V3 2. cos 38, sin e--VS 2V5 V3 39. sin e cos = cos = cos A - 2 41. sin e- - 3' Cos e- 2V3 3 2V2 42. sin e cose- - noltulo2 In Problems 43-58, find the exact value of each of the remaining trigonometric furncions of o. 41 sin e- @ in quadrant II 12 45. cose - 8 in quadrane 13' 44. cos e= in quadrant IV 5' 46. sin e - 13' 4 48. cos e = 270 <<3 48. cos e = 47. sin e= 90 < e < 180 13 in quadrant III 5' 1 49. cos e = - 3' 2 1 3m 50. sin e- - <e< 2 51. sin e = tan e <0 く く 3' 52. cos e -- 4' tan e >0 53. sec e- 2, sin e <0 54. csc e = 3, cot e <0 3 55. tan e= * sin e <0 56. cot e = cos e <0 57. tan e = - sin e>0 4' 58. sec e -2, tan e>0 gnibnstziebnu uoY 229z In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. \s9. sin (-60) 60. cos (-30) 61. tan (-30) 62. sin (-135") 63. sec(-60) 64. csc(-30) 65. sin (-90) 66. cos (-270) 67. tan -) 68. sin (-=) 69. cos-) 70. sin -) 72. sin( -) 76. ese( -) 71. tan (-) 73. csc( - 74. sec (-) 75. sec 76. csel- In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 77. sin 40 + cos 40 78. sec' 18 - tan 18 79. sin 80 csc 80 80. tan 10 cot 10 sin 40 cos 40 cos 20 sin 20 81. tan 40 - 82. cot 20 - 83. cos 400 - sec 40 84. tan 200 -cot 20 25 85. sin -) esc 12 86. sec -)-con 37m sin (-20°) 87. cos 380 12 18 18 + tan 200° 88. cos (-430) sin 70 + tan(-) 89. If sin e- 0.3, find the value of: 94. Find the exact value of: sin e + sin (0 + 27) + sin (0 + 4m) cos 1° + cos 2 + cos 3 +.. + cos 358 + của 95. What is the domain of the sine function? 96. What is the domain of the cosine function? 90. If cos e = 0.2, find the value of: cos e + cos (0 + 2m) + cos (6 + 4m) 91. If tan e- 3, find the value of: 97. For what numbers e is f(e) = tan e not defincu 98. For what numbers e is f(e) - cot e not definc 99. For what numbers 6 is f(0) 100. For what numbers 6 is f(0) 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: tan 0 + tan (0 + ) + tan (0 + 2) 92. If cot e = -2, find the value of: sec e not defined? - csc ở not defined? cot e + cot (0 - ) + cot (0 - 2) 93. Find the exact value of: sin 1° + sin 2° + sin 3° + + sin 358 + sin 3500 Retake Use Photo
Transcribed Image Text:97. For what numbers 6 is f(0)- tan e not defined? In Problems 35-42, sin e and cos 6 are given. Find the exact value of each of the four remaining trigonometric functionx cos 1° + cos 2 + cos 3 + + cos 358 + cos 3 103. What is the range of the tangent function? guTometne Functions 2V5 cos Vs 35. sin e- - 37. sin 6- 3. cos e = 4 36. sin e- cos e-- 5' 1. 40. sin ở - V3 2. cos 38, sin e--VS 2V5 V3 39. sin e cos = cos = cos A - 2 41. sin e- - 3' Cos e- 2V3 3 2V2 42. sin e cose- - noltulo2 In Problems 43-58, find the exact value of each of the remaining trigonometric furncions of o. 41 sin e- @ in quadrant II 12 45. cose - 8 in quadrane 13' 44. cos e= in quadrant IV 5' 46. sin e - 13' 4 48. cos e = 270 <<3 48. cos e = 47. sin e= 90 < e < 180 13 in quadrant III 5' 1 49. cos e = - 3' 2 1 3m 50. sin e- - <e< 2 51. sin e = tan e <0 く く 3' 52. cos e -- 4' tan e >0 53. sec e- 2, sin e <0 54. csc e = 3, cot e <0 3 55. tan e= * sin e <0 56. cot e = cos e <0 57. tan e = - sin e>0 4' 58. sec e -2, tan e>0 gnibnstziebnu uoY 229z In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not use a calculator. \s9. sin (-60) 60. cos (-30) 61. tan (-30) 62. sin (-135") 63. sec(-60) 64. csc(-30) 65. sin (-90) 66. cos (-270) 67. tan -) 68. sin (-=) 69. cos-) 70. sin -) 72. sin( -) 76. ese( -) 71. tan (-) 73. csc( - 74. sec (-) 75. sec 76. csel- In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 77. sin 40 + cos 40 78. sec' 18 - tan 18 79. sin 80 csc 80 80. tan 10 cot 10 sin 40 cos 40 cos 20 sin 20 81. tan 40 - 82. cot 20 - 83. cos 400 - sec 40 84. tan 200 -cot 20 25 85. sin -) esc 12 86. sec -)-con 37m sin (-20°) 87. cos 380 12 18 18 + tan 200° 88. cos (-430) sin 70 + tan(-) 89. If sin e- 0.3, find the value of: 94. Find the exact value of: sin e + sin (0 + 27) + sin (0 + 4m) cos 1° + cos 2 + cos 3 +.. + cos 358 + của 95. What is the domain of the sine function? 96. What is the domain of the cosine function? 90. If cos e = 0.2, find the value of: cos e + cos (0 + 2m) + cos (6 + 4m) 91. If tan e- 3, find the value of: 97. For what numbers e is f(e) = tan e not defincu 98. For what numbers e is f(e) - cot e not definc 99. For what numbers 6 is f(0) 100. For what numbers 6 is f(0) 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: tan 0 + tan (0 + ) + tan (0 + 2) 92. If cot e = -2, find the value of: sec e not defined? - csc ở not defined? cot e + cot (0 - ) + cot (0 - 2) 93. Find the exact value of: sin 1° + sin 2° + sin 3° + + sin 358 + sin 3500 Retake Use Photo
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