Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 10P
Related questions
Question
91,97,103 plz
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
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