sin 2x 29. sin x cos 2r = sec x cos X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 82E
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Answer question 29

N- NI-
24. cos 40 = 8 cos“ e - 8 cos e + 1
58. cot 0 =
In Exercises 25-32, verify each identity.
25. costx - sin' x
Cos 2r
59. sin 0 =
26. 1 + cos 2x + 2 sinx = 2
61. sec 0 =
1 + sin 2x
27.
cos x + sin x
cos 2r
sin x
cos x - sinx
In Exercises
cos 2r
28.
sin 2r
csc 2x
63. ( sin
cos X
sin 2x
29.
sin x
cos 2r
sec x
64. sin
COs X
cos 3x
30.
sin 3x
cos 2r
sin 3x cos x
sin x
65. 2 cos?
COS X
sin 3x
31. tan 2x + tan x =
66. 2 sin?
2.
cos 2r cos x
32. tan 2x - tan x = tan x sec 2x
67. tan
In Exercises 33-42, use the power-reducing identities to rewrite
each expression to one that contains a single trigonometric func-
tion of power 1.
68. tan
Transcribed Image Text:N- NI- 24. cos 40 = 8 cos“ e - 8 cos e + 1 58. cot 0 = In Exercises 25-32, verify each identity. 25. costx - sin' x Cos 2r 59. sin 0 = 26. 1 + cos 2x + 2 sinx = 2 61. sec 0 = 1 + sin 2x 27. cos x + sin x cos 2r sin x cos x - sinx In Exercises cos 2r 28. sin 2r csc 2x 63. ( sin cos X sin 2x 29. sin x cos 2r sec x 64. sin COs X cos 3x 30. sin 3x cos 2r sin 3x cos x sin x 65. 2 cos? COS X sin 3x 31. tan 2x + tan x = 66. 2 sin? 2. cos 2r cos x 32. tan 2x - tan x = tan x sec 2x 67. tan In Exercises 33-42, use the power-reducing identities to rewrite each expression to one that contains a single trigonometric func- tion of power 1. 68. tan
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