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In Problems S-46, solve each equation on the interval 0 ≤0<2m. Verify your results using a graphing utility. 7. 2 sin² - sin 0-1=0 5. 2 cos² 0 + cos 0 = 0 6. sin²0-1-0

In Problems S-46, solve each equation on the interval 0 ≤0<2m. Verify your results using a graphing utility. 7. 2 sin² - sin 0-1=0 5. 2 cos² 0 + cos 0 = 0 6. sin²0-1-0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Skill Building In Problems 5-46, solve each equation on the interval 0 ≤ 0 <2m. Verify your results using a graphing utility. 5. 2 cos² + cos 0 = 0 6. sin²010 7. 2 sin²0 8. 2 cos² 11. sin²0 14. 2 sin² 17. cos € = + cos 0-1=0 cos² 0 = 1 + cos 0 = 3(1- cos 0) sin 20. sin(20) cos 0 23. cos(20) cos 26. cos(20) + cos(40) = 0 29. 1+ sin = 2 cos²6 4- 32. 2 cos² - 7 cos 0-4 = 0 3 sec 0 35. tan²0 38. cos(20) + 5 cos 0 + 3 = 0 41. sin 0 V3 cos 0 = 1 44. tan(20) + 2 cos 0 = 0 9. (tan 1) (sec 0 - 1) = 0 12. cos² esin²0 + sin 0 = 0 15. cos(20) + 6 sin² 0 = 4 18. cos 0 + sin 0 = 0 21. sin csc Ⓒ 24. sin(20) sin = cos 0 27. cos(40) cos(60) = 0 33. 3(1 36. csc² 30. sin² = 2 cos 0 + 2 cos 0) = sin² 0 = cot + 1 SECTION 7.8 Trigonometric Equations (1) 39. sec²+tan 0 = 0 42. √3 sin 0 + cos 0 = 1 45. sin cos 0 = V2 - sin 0 - 1 0 - 1) (csc 0 - 1) = 0 10. (cot+1) csc 0 - 13. sin² = 6(cos 0 + 1) 16. cos(20) 2 - 2 sin² 0 19. tan 2 sin 22. tan cot 25. sin(20) + sin(40) = 0 28. sin(40) sin(60) = 0 31. 2 sin² - 5 sin 0 + 3 = 0 34. 4(1 + sin 0) = cos²0 37. 3- sin = cos(20) 40. sec tan 8+ cot 0 43. tan(20) + 2 sin 0 = 0 46. sin + cos 0 = -√₂ 501
Transcribed Image Text:Skill Building In Problems 5-46, solve each equation on the interval 0 ≤ 0 <2m. Verify your results using a graphing utility. 5. 2 cos² + cos 0 = 0 6. sin²010 7. 2 sin²0 8. 2 cos² 11. sin²0 14. 2 sin² 17. cos € = + cos 0-1=0 cos² 0 = 1 + cos 0 = 3(1- cos 0) sin 20. sin(20) cos 0 23. cos(20) cos 26. cos(20) + cos(40) = 0 29. 1+ sin = 2 cos²6 4- 32. 2 cos² - 7 cos 0-4 = 0 3 sec 0 35. tan²0 38. cos(20) + 5 cos 0 + 3 = 0 41. sin 0 V3 cos 0 = 1 44. tan(20) + 2 cos 0 = 0 9. (tan 1) (sec 0 - 1) = 0 12. cos² esin²0 + sin 0 = 0 15. cos(20) + 6 sin² 0 = 4 18. cos 0 + sin 0 = 0 21. sin csc Ⓒ 24. sin(20) sin = cos 0 27. cos(40) cos(60) = 0 33. 3(1 36. csc² 30. sin² = 2 cos 0 + 2 cos 0) = sin² 0 = cot + 1 SECTION 7.8 Trigonometric Equations (1) 39. sec²+tan 0 = 0 42. √3 sin 0 + cos 0 = 1 45. sin cos 0 = V2 - sin 0 - 1 0 - 1) (csc 0 - 1) = 0 10. (cot+1) csc 0 - 13. sin² = 6(cos 0 + 1) 16. cos(20) 2 - 2 sin² 0 19. tan 2 sin 22. tan cot 25. sin(20) + sin(40) = 0 28. sin(40) sin(60) = 0 31. 2 sin² - 5 sin 0 + 3 = 0 34. 4(1 + sin 0) = cos²0 37. 3- sin = cos(20) 40. sec tan 8+ cot 0 43. tan(20) + 2 sin 0 = 0 46. sin + cos 0 = -√₂ 501
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