Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
49,55,61,67
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfe587a9-c79c-47f9-ba22-31aa0a167e3f%2Fa8e4aafc-e06d-4f94-a462-bdd32081ecfb%2Fnmbdm2n_processed.jpeg&w=3840&q=75)
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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