15. cos 2
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Answer number 15. Need the precise number. I have attached what the book answer was so look at that as well
Transcribed Image Text:Critical Thinking/Discussion/Writing:
89. (1.107, 2.034, 4.249, 5.176) 91. (0.905, 5.379)
7 5T
7 11a
95.
T 11T
93.
97.
99.
101.
103. 2 cos 4x cos x
Section 6.6
Answers to Practice Problems:
T Sm 13w 17
1.
12' 12' 12 12
2.
3. After about 5 days and 24 days
T 5 25m 29w 49 53m
4 (15", 75°, 135°, 195°, 255°, 315°) 5 36 36 36 36 36 36
+ V2)
2.
2r 4m
6 8m
6.
7.
8. b.
5.
Basic Concepts and Skills:
Sm 7m
3.
5. false 7.
9. Ø
1.
2.
Sa 13m 17 25 297
18 18 18 18 18
3 11 17 19
12 12 12 J
w 77 13m 19
12 12 12
11.
13.
18
15.
17.
19.
1 l1s
2 6
1 17#
4 24
1 5m
2' 6
1 5m
1 77
2 6
21.
1 137
4 24
I 257
4 24
1 29m
4 24
23.
24
4' 24
2 11m
2 137
1 41m
4 24
37
25.
3 9
3 9
3' 9
24
27. (35.3°, 144.7°, 215.3°, 324.7°)
29. (20°, 100°, 140°, 220", 260°, 340°}
31. (66.5, 113.5, 186.5°, 233.5°, 306.5°, 353.5) 33. Ø
{a.
27
35. (30°, 150°, 210°, 330°) 37. (60°, 300) 39.
37
п Зт п 5п 7т 9п 11т Зп 13т 15т
41.
43.
2 8
8 J
77.
8 2' 8
8
9 11m 137 157
7 37 ST 77
T.
8.
47.
49. Ø
45.
8' 8
8
8'8'8
5V26
51.
53.
26 J
Applying the Concepts:
55. a. =
0.0014 sec
b.
0.0092 sec
10
57.
+ 4n sec,
3
+ 4n sec, n an integer 59. a. 27 b. 18, 36
3
c. 10, 44
61. a. January b. February, December
Beyond the Basics:
Transcribed Image Text:SECTION 6.6
Exercises
Basic Concepts and Skills
< then x2 =
V3
14. cos 3x =
2
1. If sin 2x1
= sin 2r2 and 0 < <x2 <
13. sin 3x
16. csc
%3D
15. cos
2
%3D
2. If cos 2r, = cos 2r2 and 0 < xj <x2 < T, then x2
18. cot= V3
17. tan
= 1
3. If tan 2r = tan 2r2 and 0 <x < x2 < T, then x2 =
19. 2 sin 3x = V2
20. 2 cos 3x = V2
%3D
4. True or False. sin (2 sinx) = 2rVI - x²if
-1 SxS 1.
22. 2 sin (2x - 1) = V3
24. 2 cos (4x + 1) = V3
21. 2 cos (2x + 1) = 1
%3D
23. 2 sin (4x - 1) = 1
3x
25. 2 cos
3x
26. 2 sin
sin 2x
5. True or False.
2
= sin x
= V3
= 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
6. True or False.
= tan 1
28. 4 sin 20 = 1
30. 2 sin 30 -1 = -2
27. 3 cos 20 = 1
In Exercises 7-26, find all solutions of each equation in the
interval [0, 27).
29. 2 cos 30 +1 = 2
31. 3 sin 30 +1 = 0
32. 4 cos 30 + 1 = 0
7. cos 2x
8. cos 2x = 0
33. 2 sin +1 = 0
34. 2 cos-
+ V3 = 0
V3
10. sec 2x =
9. csc 2x
%3D
35. 2 sec 20 + 3 = 7
36. 2 csc 20 +1 = 0
V3
11. tan 2x =
V3
12. cot 2x =
3
sec-3 = 7
37. 3 csc-
-1 = 5
38. 5 sec
3
2.
1121 2
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