For the following exercises, find exact solutions on the interval [0,2π). Look for opportunities to use trigonometric identities. 8sin 2 x + 6sin x + 1 = 0
Chapter 7, 7.5 Exercises #60
For the following exercises, find exact solutions on the interval [0,2π). Look for opportunities to use trigonometric identities.
8sin2 x + 6sin x + 1 = 0
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Answer
If 8sin2 x + 6sin x + 1 = 0, then 2sin2x=1. So, (cos2x+ sin2x) = tan(π/4)= 1. Therefore, tan"α" …View the full answer
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7.2 Exercises:
- 7.2E-1
- 7.2E-2
- 7.2E-3
- 7.2E-5
- 7.2E-6
- 7.2E-7
- 7.2E-8
- 7.2E-9
- 7.2E-10
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- 7.2E-12
- 7.2E-13
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- 7.2E-15
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- 7.2E-30
- 7.2E-31
- 7.2E-32
- 7.2E-33
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- 7.2E-49
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- 7.2E-52
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7.3 Exercises:
- 7.3E-1
- 7.3E-2
- 7.3E-3
- 7.3E-4
- 7.3E-5
- 7.3E-6
- 7.3E-7
- 7.3E-8
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- 7.3E-11
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- 7.3E-13
- 7.3E-14
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- 7.3E-16
- 7.3E-17
- 7.3E-18
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- 7.3E-20
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- 7.3E-22
- 7.3E-23
- 7.3E-24
- 7.3E-25
- 7.3E-26
- 7.3E-27
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- 7.3E-29
- 7.3E-30
- 7.3E-31
- 7.3E-32
- 7.3E-33
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- 7.3E-54
- 7.3E-55
- 7.3E-56
- 7.3E-57
- 7.3E-58
- 7.3E-59
- 7.3E-60
- 7.3E-61
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7.4 Exercises:
- 7.4E-1
- 7.4E-2
- 7.4E-3
- 7.4E-4
- 7.4E-5
- 7.4E-6
- 7.4E-7
- 7.4E-8
- 7.4E-9
- 7.4E-10
- 7.4E-11
- 7.4E-12
- 7.4E-13
- 7.4E-14
- 7.4E-15
- 7.4E-16
- 7.4E-17
- 7.4E-18
- 7.4E-19
- 7.4E-20
- 7.4E-21
- 7.4E-22
- 7.4E-23
- 7.4E-24
- 7.4E-25
- 7.4E-26
- 7.4E-27
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- 7.4E-29
- 7.4E-30
- 7.4E-31
- 7.4E-32
- 7.4E-33
- 7.4E-34
- 7.4E-35
- 7.4E-36
- 7.4E-37
- 7.4E-38
- 7.4E-39
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- 7.4E-44
- 7.4E-45
- 7.4E-46
- 7.4E-47
- 7.4E-48
- 7.4E-49
- 7.4E-50
- 7.4E-51
- 7.4E-52
- 7.4E-53
- 7.4E-54
- 7.4E-55
- 7.4E-56
- 7.4E-57
- 7.4E-58
- 7.4E-59
- 7.4E-60
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- 7.4E-62
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7.5 Exercises:
- 7.5E-1
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- 7.5E-3
- 7.5E-4
- 7.5E-5
- 7.5E-6
- 7.5E-7
- 7.5E-8
- 7.5E-9
- 7.5E-10
- 7.5E-11
- 7.5E-12
- 7.5E-13
- 7.5E-14
- 7.5E-15
- 7.5E-16
- 7.5E-17
- 7.5E-18
- 7.5E-19
- 7.5E-20
- 7.5E-21
- 7.5E-22
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- 7.5E-24
- 7.5E-25
- 7.5E-26
- 7.5E-27
- 7.5E-28
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- 7.5E-30
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- 7.5E-40
- 7.5E-41
- 7.5E-42
- 7.5E-43
- 7.5E-44
- 7.5E-45
- 7.5E-46
- 7.5E-47
- 7.5E-48
- 7.5E-49
- 7.5E-50
- 7.5E-51
- 7.5E-52
- 7.5E-53
- 7.5E-54
- 7.5E-55
- 7.5E-56
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- 7.6E-1
- 7.6E-2
- 7.6E-3
- 7.6E-4
- 7.6E-5
- 7.6E-6
- 7.6E-7
- 7.6E-8
- 7.6E-9
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- 7.6E-11
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- 7.6E-23
- 7.6E-24
- 7.6E-25
- 7.6E-26
- 7.6E-27
- 7.6E-28
- 7.6E-29
- 7.6E-30
- 7.6E-31
- 7.6E-32
- 7.6E-33
- 7.6E-34
- 7.6E-35
- 7.6E-36
- 7.6E-37
- 7.6E-38
- 7.6E-39
- 7.6E-40
- 7.6E-41
- 7.6E-42
- 7.6E-43
- 7.6E-44
- 7.6E-45
- 7.6E-46
- 7.6E-47
- 7.6E-48
- 7.6E-49
- 7.6E-50
- 7.6E-51
- 7.6E-52
- 7.6E-53
Practice Exercises:
Review Exercises:
- RE-1
- RE-2
- RE-3
- RE-4
- RE-5
- RE-6
- RE-7
- RE-8
- RE-9
- RE-10
- RE-12
- RE-13
- RE-14
- RE-16
- RE-17
- RE-19
- RE-22
- RE-23
- RE-24
- RE-25
- RE-27
- RE-28
- RE-29
- RE-30
- RE-31
- RE-32
- RE-33
- RE-34
- RE-35
- RE-36
- RE-37
- RE-38
- RE-39
- RE-40
- RE-41
- RE-42
- RE-43
- RE-44
- RE-45
- RE-46
- RE-47
- RE-48
- RE-49
- RE-50
- RE-51
- RE-52
- RE-53
- RE-54
- RE-55
- RE-56
- RE-57
- RE-58
- RE-59
- RE-60