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
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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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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