2. 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. 33. 4 sin? x cosx 34. sin x cos?x 35. 4 sin x cos x (1 - 2 sin x) 36. 4 sin x cos x(2 cos x - 1) 37. 2 sin 3x cos 3x(2 cos 3x - 1) 38. sin &x(1 - 2 sin 4x) 39. sin 2 sin 40. sin x 2 cos cOs 41. 8 sin 42. 8 cos
2. 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. 33. 4 sin? x cosx 34. sin x cos?x 35. 4 sin x cos x (1 - 2 sin x) 36. 4 sin x cos x(2 cos x - 1) 37. 2 sin 3x cos 3x(2 cos 3x - 1) 38. sin &x(1 - 2 sin 4x) 39. sin 2 sin 40. sin x 2 cos cOs 41. 8 sin 42. 8 cos
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 89E
Related questions
Question
Answer number 33. Need the precise number. I have attached what the book answer was
Transcribed Image Text:Section 6.4 Answers A-21
Section 6.3
Answers to Practice Probiems:
120
119
b.
169
120
C.
1. a.
2. a.
b.
2.
169
3.
4.
cos 2x + cos 4x 5. -99.8 watts 6.
2.
V2+ V2
8.
V26
7.
26
Basic Concepts and Skills:
1. 2 sin x cos x 3. 2 cosx - 1;
I+ cos 2r
24
5. false 7. a.
25
/2
7.
24
C.
25
8.
15
8.
11. a.
15
3
9. a.
b.
17
17
4.
V3
V3
21.
3
13.
15. --
17. -
c.
19.
1- cos 4x
33.
sin 2r
39
4.
sin 12r
35. sin 4x 37.
V2 - V3
45
V2+ V2
41. cos 2x - 4 cos x + 3 43.
2.
V2 + V2
47.
V2 - V2
V2+ V2
49.
51. -V2 - 1
V2 + V3
2V5
55. a.
Vs
53.-
c. 2
2.
13-3V13
b.
13+3V13
V 13 - 3V13
13+3V13
57. a.
C.
26
26
5-2V6
b.
5+ 2V6
C.
5+2V6
59. a
V5- 2V6
5- VS
V5+ V5
10
10
5- V5
5+ V5
b.
61. a.
C.
10
10
Applying the Concepts:
73. 100 watts 75. 1200 watts 77. 600 watts 79.
Critical Thinking/Discussion/Writing:
7.
4.
b.
91. a.
24
d.
25
e.
f.
C.
25
Transcribed Image Text:sin x
32. tan 2x - tan x = tan x sec 2x
67. tan
1+ cos
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.
1
- cos
68. tan
sin x
33. 4 sin x cos x
34. sin? x cos? x
69. sin?= + cos x =
35. 4 sin x cos x (1 - 2 sin' x)
36. 4 sin x cos x (2 cos x - 1)
37. 2 sin 3x cos 3x (2 cos? 3x - 1)
38. sin &x(1 - 2 sin 4x)
70. cosx + cos x =
2 tan
2
2 sin
40. sin x
71. sin x =
cos
I + tan
41. 8 sin"
42. 8 cos
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning