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Answer question 23

Answer question 23

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 2DE
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Answer question 23
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
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:
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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