Answer question 23
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 16A: For each exercise, functions of two angles are given. Which of the functions of the two angles is...
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Answer question 23
Transcribed Image Text:SECTION 6.6
Exercises
Basic Concepts and Skills
1. If sin 2x, = sin 2r2 and 0 < x, < x2 < then x2 =
1
13. sin 3x =
V3
14. cos 3x =
2'
1
16. csc 2
= 2
15. cos
2. If cos 2x = cos 2r, and 0 <x <x, < , then x2 =
17. tan
18. cot = V3
= 1
3. If tan 2x, = tan 2r2 and 0 <x < x2 < T, then x2 =
3
19. 2 sin 3x = V2
20. 2 cos 3.x = V2
4. True or False. sin (2 sinx) =
-1 SIS1.
21V1 - x² if
21. 2 cos (2r + 1) = 1
23. 2 sin (4x - 1) = 1
22. 2 sin (2x - 1) = V3
24. 2 cos (4x + 1) = V3
sin 2r
5. True or False.
= V3
3x
26. 2 sin
= sin x
25. 2 cos
= 1
In Exercises 27–38, solve each equation for 0 in the interval
[0°, 360°). If necessary, write your answer to the nearest tenth
of a degree.
2 tan
2
6. True or False.
tan 1
28. 4 sin 20 = 1
In Exercises 7-26, find all solutions of each equation in the
interval (0,27).
27. 3 cos 20 = 1
29. 2 cos 30 + 1 = 2
30. 2 sin 30 –1 = -2
1
7. cos 2x =
31. 3 sin 30 + 1 = 0
32. 4 cos 30 +1 = 0
8. cos 2x = 0
33. 2 sin - + 1 = 0
2
34. 2 cos + V3 = 0
V3
10. sec 2x =
9. csc 2x =
35. 2 sec 20 + 3 = 7
36. 2 csc 20 +1 = 0
V3
11. tan 2x =
V3
12. cot 2x =
3
37. 3 csc-1 = 5
38. 5 sec - 3 = 7
3
![Critical Thinking/Discussion/Writing:
89. (1.107, 2.034, 4.249, 5.176)
91. (0.905, 5.379)
7 5m
93.
4 4
117ה7 ]
6 6
3m
99.
11m
95.
97.
101.
103. 2 cos 4x cos x
Section 6.6
Answers to Practice Problems:
Sm 13m 177
1.
12' 12' 12
{}
2.
3. After about 5 days and 24 days
12
T 5m 25m 29 49 53m
36 36 36 36' 36 36
V2+
4 (15, 75°, 135°, 195°, 255, 315) 5
2 4m
6 8T
6.
7.
8. b.
2.
Basic Concepts and Skills:
11m
I.
3.
- 5. false 7.
9. Ø
w 77 13T 197
1.
12 12 12 12
6696
- Sm 13m 17 25 29
18 18 18
13.
18 18 18
a 3m 1l 17 19
19.
12' 4 4 12 12 12
1 11s
2 6
1 17
4 24
15.
17.
1 5m
2' 6
1 5m
4 24
11
21.
2.
I 25
4 24
2 6
1 137
1 29 1
23.
24
4 24
4 24
4"
37
1 41m
2 7
2 11m
2 137
25.
24
4 24
9.
3 9
3' 9
3' 9
27. (35.3°, 144.7°, 215,3°, 324.7°)
29. (20°, 100°, 140°, 220°, 260°, 340)
31. (66.5, 113.S, 186.5, 233.5°, 306.5°, 353.5°) 33. Ø
0,
77,
35. (30°, 150°, 210°, 330°) 37. (60°, 300) 39.
3
3
37 T 57 7m 97 11s 37 137 15T
43.
8 8'2' 8 '8
41.
0.
77,
8.
8
2 8'8
V3
# 37 Sm 7T
0,
8 8
97 117 137T 15
49. Ø
47.
45.
8' 8
8 8'8
5V26
53.
51.
26
Applying the Concepts:
55. a. = 0.0014 sec
b. =0.0092 sec
10
+ 4n sec, n an integer 59. a. 27 b. 18, 36
3.
2
57.
+ 4n sec,
3.
c. 10, 44 61. a. January b. February, December
Beyond the Basics:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae5612fb-876e-4f5f-9739-a45439c825e3%2F08250c98-0c9a-432a-96d0-ad776d95f696%2F48zzyv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Critical Thinking/Discussion/Writing:
89. (1.107, 2.034, 4.249, 5.176)
91. (0.905, 5.379)
7 5m
93.
4 4
117ה7 ]
6 6
3m
99.
11m
95.
97.
101.
103. 2 cos 4x cos x
Section 6.6
Answers to Practice Problems:
Sm 13m 177
1.
12' 12' 12
{}
2.
3. After about 5 days and 24 days
12
T 5m 25m 29 49 53m
36 36 36 36' 36 36
V2+
4 (15, 75°, 135°, 195°, 255, 315) 5
2 4m
6 8T
6.
7.
8. b.
2.
Basic Concepts and Skills:
11m
I.
3.
- 5. false 7.
9. Ø
w 77 13T 197
1.
12 12 12 12
6696
- Sm 13m 17 25 29
18 18 18
13.
18 18 18
a 3m 1l 17 19
19.
12' 4 4 12 12 12
1 11s
2 6
1 17
4 24
15.
17.
1 5m
2' 6
1 5m
4 24
11
21.
2.
I 25
4 24
2 6
1 137
1 29 1
23.
24
4 24
4 24
4"
37
1 41m
2 7
2 11m
2 137
25.
24
4 24
9.
3 9
3' 9
3' 9
27. (35.3°, 144.7°, 215,3°, 324.7°)
29. (20°, 100°, 140°, 220°, 260°, 340)
31. (66.5, 113.S, 186.5, 233.5°, 306.5°, 353.5°) 33. Ø
0,
77,
35. (30°, 150°, 210°, 330°) 37. (60°, 300) 39.
3
3
37 T 57 7m 97 11s 37 137 15T
43.
8 8'2' 8 '8
41.
0.
77,
8.
8
2 8'8
V3
# 37 Sm 7T
0,
8 8
97 117 137T 15
49. Ø
47.
45.
8' 8
8 8'8
5V26
53.
51.
26
Applying the Concepts:
55. a. = 0.0014 sec
b. =0.0092 sec
10
+ 4n sec, n an integer 59. a. 27 b. 18, 36
3.
2
57.
+ 4n sec,
3.
c. 10, 44 61. a. January b. February, December
Beyond the Basics:
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