55. tan e= sin e <0 cos e <0 3" 56. cot e= 58. sec e -2, tan e>0 gnibnsiz In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do nor 59. sin (-60) 60. cos (-30) 61. tan (-30)
55. tan e= sin e <0 cos e <0 3" 56. cot e= 58. sec e -2, tan e>0 gnibnsiz In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do nor 59. sin (-60) 60. cos (-30) 61. tan (-30)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 64E
Related questions
Concept explainers
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Topic Video
Question
55,61 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
Retake
Use Photo
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,