Similar Triangles, Right Triangles, And The Definition Of The Sine, Cosine And Tangent Functions Of Angles Of A Right Triangle Worksheets With Answer Key Page 40
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43GRAPHS OF THE SINE AND COSINE FUNCTIONS
π
2
π
π
41. amplitude = 2; period =
40. amplitude = 3; period =
42. amplitude = 4; period = 6
5
θ
π
(
)
3
3
1
1
π
θ
=
=
44. amplitude =
; period = 4
;
y
sin
43. amplitude =
; period =
;
y
cos
12
2
2
2
2
6
2
46. π
48. π
45. 2π
47. 2π
49. 2π
50. 2π
51. see page 16, Figure T32
52. see page 17, Figure T34
53. see page 17, Figure T33
INVERSE TRIGONOMETRIC FUNCTIONS
π
π
π
-1
54.
55.
56.
57. undefined (2 is not in the domain of Sin
x)
6
6
58. 2.3746
59. 1.4300
60. -0.0010
61. -0.2119
62. 0
63. 0.9531
64. no solution
65. 870
66. undefined
67. 1.4
68. -0.6217
69. 0.0123
π
π
π
2
π
−
70.
73.
74.
75.
71. 0
72. 0
4
4
6
5
π
12
5
4
2
3
−
−
76.
77.
78.
79.
80.
81.
13
13
13
3
2
2
2
15
15
2
11
83.
5
85.
86.
82. 0
84. undefined
87. D)
5
17
8
69
BASIC TRIGONOMETRIC IDENTITIES
θ
θ
θ
θ
θ
2
2
90. 1
88. sec
89. cot
91. sec
92. tan
93. 1 + cot
θ
θ
θ
2
96. 1
97. 1
99. -1
94. cot
95. 1 - sin
98. tan
1
θ
θ
θ
θ
θ
2
102.
100. sin
101. cos
103. cos
104. sin
105. sin
θ
sin
7
4
5
5
107.
111.
108. -1
109.
110. -
106.
17
2
3
2
2
θ
1 +
2
sin
33
−
θ
θ
−
113.
3
114.
115. cot
116. sin
112.
θ
3
cos
7
θ
θ
θ
θ
θ
2
2
2
2
2
117. cos
- sin
= cos
- (1 - cos
) = 2 cos
- 1
- 40 -
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