We can determine the half-angle formula for tan (x/2) = 1 cos x/1 + cos x by dividing the formula for sin (x/2) by cos (x/2).Explain how to determine two formulas for tan (x/2) that do not involve any square roots.
Chapter 7, 7.3 Exercises #3
We can determine the half-angle formula for tan (x/2) = ± √1 − cos x/√1 + cos x by dividing the formula for sin (x/2) by cos (x/2).Explain how to determine two formulas for tan (x/2) that do not involve any square roots.
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Answers for Questions in Chapter 7
7.1 Exercises:
- 7.1E-1
- 7.1E-2
- 7.1E-3
- 7.1E-4
- 7.1E-5
- 7.1E-6
- 7.1E-7
- 7.1E-8
- 7.1E-9
- 7.1E-10
- 7.1E-11
- 7.1E-12
- 7.1E-13
- 7.1E-14
- 7.1E-15
- 7.1E-16
- 7.1E-17
- 7.1E-18
- 7.1E-19
- 7.1E-20
- 7.1E-21
- 7.1E-22
- 7.1E-23
- 7.1E-24
- 7.1E-25
- 7.1E-26
- 7.1E-27
- 7.1E-28
- 7.1E-29
- 7.1E-30
- 7.1E-31
- 7.1E-32
- 7.1E-33
- 7.1E-34
- 7.1E-35
- 7.1E-36
- 7.1E-37
- 7.1E-38
- 7.1E-39
- 7.1E-40
- 7.1E-41
- 7.1E-42
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
- 7.2E-11
- 7.2E-12
- 7.2E-13
- 7.2E-14
- 7.2E-15
- 7.2E-16
- 7.2E-17
- 7.2E-18
- 7.2E-19
- 7.2E-20
- 7.2E-21
- 7.2E-24
- 7.2E-25
- 7.2E-26
- 7.2E-27
- 7.2E-28
- 7.2E-29
- 7.2E-30
- 7.2E-31
- 7.2E-32
- 7.2E-33
- 7.2E-34
- 7.2E-35
- 7.2E-36
- 7.2E-37
- 7.2E-38
- 7.2E-39
- 7.2E-40
- 7.2E-41
- 7.2E-42
- 7.2E-43
- 7.2E-44
- 7.2E-45
- 7.2E-46
- 7.2E-47
- 7.2E-48
- 7.2E-49
- 7.2E-50
- 7.2E-51
- 7.2E-52
- 7.2E-53
- 7.2E-54
- 7.2E-55
- 7.2E-56
7.3 Exercises:
- 7.3E-1
- 7.3E-2
- 7.3E-4
- 7.3E-5
- 7.3E-6
- 7.3E-7
- 7.3E-8
- 7.3E-9
- 7.3E-10
- 7.3E-11
- 7.3E-12
- 7.3E-13
- 7.3E-14
- 7.3E-15
- 7.3E-16
- 7.3E-17
- 7.3E-18
- 7.3E-19
- 7.3E-20
- 7.3E-21
- 7.3E-22
- 7.3E-23
- 7.3E-24
- 7.3E-25
- 7.3E-26
- 7.3E-27
- 7.3E-28
- 7.3E-29
- 7.3E-30
- 7.3E-31
- 7.3E-32
- 7.3E-33
- 7.3E-34
- 7.3E-35
- 7.3E-36
- 7.3E-37
- 7.3E-38
- 7.3E-39
- 7.3E-40
- 7.3E-41
- 7.3E-42
- 7.3E-43
- 7.3E-44
- 7.3E-45
- 7.3E-46
- 7.3E-47
- 7.3E-48
- 7.3E-49
- 7.3E-50
- 7.3E-51
- 7.3E-52
- 7.3E-53
- 7.3E-54
- 7.3E-55
- 7.3E-56
- 7.3E-57
- 7.3E-58
- 7.3E-59
- 7.3E-60
- 7.3E-61
- 7.3E-62
- 7.3E-63
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
- 7.4E-28
- 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
- 7.4E-40
- 7.4E-41
- 7.4E-42
- 7.4E-43
- 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
- 7.4E-61
- 7.4E-62
- 7.4E-63
7.5 Exercises:
- 7.5E-1
- 7.5E-2
- 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
- 7.5E-23
- 7.5E-24
- 7.5E-25
- 7.5E-26
- 7.5E-27
- 7.5E-28
- 7.5E-29
- 7.5E-30
- 7.5E-31
- 7.5E-32
- 7.5E-33
- 7.5E-34
- 7.5E-35
- 7.5E-36
- 7.5E-37
- 7.5E-38
- 7.5E-39
- 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
- 7.5E-57
- 7.5E-58
- 7.5E-59
- 7.5E-60
- 7.5E-61
- 7.5E-62
- 7.5E-63
- 7.5E-64
- 7.5E-65
- 7.5E-66
- 7.5E-67
- 7.5E-68
- 7.5E-69
- 7.5E-70
- 7.5E-71
- 7.5E-72
- 7.5E-73
- 7.5E-74
- 7.5E-75
- 7.5E-76
- 7.5E-77
- 7.5E-78
- 7.5E-79
- 7.5E-80
- 7.5E-81
- 7.5E-82
- 7.5E-83
- 7.5E-84
- 7.5E-85
- 7.5E-86
- 7.5E-87
- 7.5E-88
- 7.5E-89
- 7.5E-90
- 7.5E-91
- 7.5E-92
- 7.5E-93
- 7.5E-94
- 7.5E-95
- 7.5E-96
- 7.5E-97
- 7.5E-98
- 7.5E-99
- 7.5E-100
- 7.5E-101
- 7.5E-102
- 7.5E-103
- 7.5E-104
- 7.5E-105
- 7.5E-106
7.6 Exercise:
- 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
- 7.6E-10
- 7.6E-11
- 7.6E-12
- 7.6E-13
- 7.6E-14
- 7.6E-15
- 7.6E-16
- 7.6E-17
- 7.6E-18
- 7.6E-19
- 7.6E-20
- 7.6E-21
- 7.6E-22
- 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
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