19. 2 sin 3x = V2 %3D + 1) =

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°.
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Solve number 19. I have attached what the question was. Please help me find the answer using the way that I have provided.
19) 2gin 3x =5z
Sin3x= J2
こ
て
2T
21)
Transcribed Image Text:19) 2gin 3x =5z Sin3x= J2 こ て 2T 21)
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
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
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