In Problems 65-76, use a calculator to find the approximate value of each expression roune 66. cos 14° 68. cot 70° 67. sec 21° 57 72. csc 13 65. sin 28° 71. cot 12 69. tan 10 70. sin 8. 76. tan 1° 75. sin 1° 74. tan 1 73. sin 1 Visludeou In Problems 77–84, a point on the terminal side of an angle 0 in standard position is given. Find the exact value of eac trigonometric functions of 0. 79. (2,-3) 80. (-1, -2) 77. (-3,4) 78. (5, –12) 81. (-2, -2) 82. (-1,1) 83. 84. (0.3,0.4) 85. Find the exact value of: 89. If f(0) = sin 6- 0.1, find f(0 + 7). sin 45° + sin 135° + sin 225° + sin 315° 90. If f(0) 0.3, find f(0 + 7). 3, find f(0 + 7). Cos %3D 86. Find the exact value of: 91. If f(0) = tan

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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73,79,85,91
11
7T
24. cot 2
In Problems 21-30, find the exact value. Do not use a calculator.
22. cos (7)
25. csc
2
30. tan (-37)
388 CHAPTER 6 Trigonometric Functions
23. tan (6m)
29. sec (-7)
Mix
11m
21. sin
21
28. sin (-3m)
27. cos
107
26. sec (8m)
m Problems 31-46, find the exact value of each expression, Do not use a calculator.
31. sin 45° + cos 60"
34. cos 180° - sin lo
33. sin 90° + tan 45°
11
38. sec 30° cot 45
32. sin 30° - cos 45°
37. csc 45° tan 60°
42. 2 sin
4
46. sec T - csc
- 3 tan
3.
+ 3 tan
11-
36. tan 45° cos 30
41. 2 sin
35. sin 45° cos 45
40. 5 cos 90° - 8 sin 270
+ cot
2
39. 4 sin 90° - 3 tan 180°
45. csc
+ cot
44. 3 csc
anl
43. 2 sec
+ 4 cot
3.
51.
4
117
52.
Do not use a calculator.
50. 240°
4
2m
47.
5m
48.
49. 210°
oon58, -
57.
55, 405°
56. 390°
6.
137
54.
6
53.
147
63.
137
64. -
62. 5т
61.
59. - 135°
60. -240°
In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two decimal places
\65. sin 28°
68. cot 70°
67. sec 21°
66. cos 14°
71. cot
12
72. csc
13
69. tan
10
70. sin
8
75. sin 1°
76. tan 1º
73. sin 1
74. tan 1
Visludeov b
In Problems 77–84, a point on the terminal side of an angle 0 in standard position is given. Find the exact value of egch ata
trigonometric functions of 0.
\ 77. (-3, 4)
78. (5, - 12)
79. (2, -3)
80. (-1, –2)
1 1
83.
81. (-2, –2)
82. (-1,1)
84. (0.3,0.4)
85. Find the exact value of:
89. If f(0) = sin 6 0.1, find f(0 + m).
sin 45° + sin 135° + sin 225° + sin 315°
90. If f(0) = cos R 0.3, find f(0 + 7).
86. Find the exact value of:
91. If f(0) = tan 3, find f(0 + 1).
tan 60° + tan 150°
92. If f(0) = cot 4 = -2, find f(0 + T).
87. Find the exact value of:
1
find csc 0.
5°
sin 40° + sin 130° + sin 220° + sin 310°
93. If sin 0 =
88. Find the exact value of:
2
find sec 0.
tan 40° + tan 140°
94. If cos 0 =
In Problems 95-106, f(0) = sin 0 and g(0) = cos 0. Find the exact value of each function below if 0
95. f(0)
= 60°. Do not use a calcula
96. g(0)
97. f
98. g
99. [f(0)]²
100. [g(0)]?
101. f(20)
103. 2f(0)
102. g(20)
104. 2g(0)
105. f(-0)
106. g(-0)
Transcribed Image Text:11 7T 24. cot 2 In Problems 21-30, find the exact value. Do not use a calculator. 22. cos (7) 25. csc 2 30. tan (-37) 388 CHAPTER 6 Trigonometric Functions 23. tan (6m) 29. sec (-7) Mix 11m 21. sin 21 28. sin (-3m) 27. cos 107 26. sec (8m) m Problems 31-46, find the exact value of each expression, Do not use a calculator. 31. sin 45° + cos 60" 34. cos 180° - sin lo 33. sin 90° + tan 45° 11 38. sec 30° cot 45 32. sin 30° - cos 45° 37. csc 45° tan 60° 42. 2 sin 4 46. sec T - csc - 3 tan 3. + 3 tan 11- 36. tan 45° cos 30 41. 2 sin 35. sin 45° cos 45 40. 5 cos 90° - 8 sin 270 + cot 2 39. 4 sin 90° - 3 tan 180° 45. csc + cot 44. 3 csc anl 43. 2 sec + 4 cot 3. 51. 4 117 52. Do not use a calculator. 50. 240° 4 2m 47. 5m 48. 49. 210° oon58, - 57. 55, 405° 56. 390° 6. 137 54. 6 53. 147 63. 137 64. - 62. 5т 61. 59. - 135° 60. -240° In Problems 65-76, use a calculator to find the approximate value of each expression rounded to two decimal places \65. sin 28° 68. cot 70° 67. sec 21° 66. cos 14° 71. cot 12 72. csc 13 69. tan 10 70. sin 8 75. sin 1° 76. tan 1º 73. sin 1 74. tan 1 Visludeov b In Problems 77–84, a point on the terminal side of an angle 0 in standard position is given. Find the exact value of egch ata trigonometric functions of 0. \ 77. (-3, 4) 78. (5, - 12) 79. (2, -3) 80. (-1, –2) 1 1 83. 81. (-2, –2) 82. (-1,1) 84. (0.3,0.4) 85. Find the exact value of: 89. If f(0) = sin 6 0.1, find f(0 + m). sin 45° + sin 135° + sin 225° + sin 315° 90. If f(0) = cos R 0.3, find f(0 + 7). 86. Find the exact value of: 91. If f(0) = tan 3, find f(0 + 1). tan 60° + tan 150° 92. If f(0) = cot 4 = -2, find f(0 + T). 87. Find the exact value of: 1 find csc 0. 5° sin 40° + sin 130° + sin 220° + sin 310° 93. If sin 0 = 88. Find the exact value of: 2 find sec 0. tan 40° + tan 140° 94. If cos 0 = In Problems 95-106, f(0) = sin 0 and g(0) = cos 0. Find the exact value of each function below if 0 95. f(0) = 60°. Do not use a calcula 96. g(0) 97. f 98. g 99. [f(0)]² 100. [g(0)]? 101. f(20) 103. 2f(0) 102. g(20) 104. 2g(0) 105. f(-0) 106. g(-0)
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