In Exercises 63-84, use an identity to solve each equation on the interval [0, 27). 63. 2 cosx + sin x – 1 = 0 64. 2 cosx – sin x – 1 = 0 65. sin?x - 2 cos x - 2 = 0 66. 4 sin x + 4 cos x - 5 = 0 67. 4 cos x = 5 - 4 sin x 68. 3 cos x = sinx 69. sin 2x = cos x 70. sin 2x = sin x 71. cos 2x = cos x 72. cos 2x = sin x 73. cos 2x + 5 cos x + 3 = 0 74. cos 2x + cos x + 1 = 0 V2 75. sin x cos x = 4 V3 76. sin x cos x = 4 78. sin x + cos x = -1 77. sin x + cos x = 1 sin (x - ) sin(x -) 79. sin(x + 4 = 1 4 80. sin x + 3 = 1 3 81. sin 2x cos x + cos 2x sin x = 82. sin 3x cos 2x + cos 3x sin 2x = 1 83. tan x + sec x = 1 84. tan x sec x = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 71E
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Question
In Exercises 63-84, use an identity to solve each equation on the
interval [0, 27).
63. 2 cosx + sin x – 1 = 0 64. 2 cosx – sin x – 1 = 0
65. sin?x - 2 cos x - 2 = 0
66. 4 sin x + 4 cos x - 5 = 0
67. 4 cos x = 5 - 4 sin x
68. 3 cos x = sinx
69. sin 2x = cos x
70. sin 2x = sin x
71. cos 2x = cos x
72. cos 2x = sin x
73. cos 2x + 5 cos x + 3 = 0
74. cos 2x + cos x + 1 = 0
V2
75. sin x cos x =
4
V3
76. sin x cos x =
4
78. sin x + cos x = -1
77. sin x + cos x = 1
sin (x - )
sin(x -)
79. sin(x +
4
= 1
4
80. sin x +
3
= 1
3
81. sin 2x cos x + cos 2x sin x =
82. sin 3x cos 2x + cos 3x sin 2x = 1
83. tan x + sec x = 1
84. tan x
sec x = 1
Transcribed Image Text:In Exercises 63-84, use an identity to solve each equation on the interval [0, 27). 63. 2 cosx + sin x – 1 = 0 64. 2 cosx – sin x – 1 = 0 65. sin?x - 2 cos x - 2 = 0 66. 4 sin x + 4 cos x - 5 = 0 67. 4 cos x = 5 - 4 sin x 68. 3 cos x = sinx 69. sin 2x = cos x 70. sin 2x = sin x 71. cos 2x = cos x 72. cos 2x = sin x 73. cos 2x + 5 cos x + 3 = 0 74. cos 2x + cos x + 1 = 0 V2 75. sin x cos x = 4 V3 76. sin x cos x = 4 78. sin x + cos x = -1 77. sin x + cos x = 1 sin (x - ) sin(x -) 79. sin(x + 4 = 1 4 80. sin x + 3 = 1 3 81. sin 2x cos x + cos 2x sin x = 82. sin 3x cos 2x + cos 3x sin 2x = 1 83. tan x + sec x = 1 84. tan x sec x = 1
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