Evaluate the expression without using a calculator. Give your answer in both radians and degrees.
1.
2.
3.
Use a calculator to evaluate the expression in both radians and degrees .
4. tan-1(-2.5)
5. cos-1 0.34
6. sin-1 0.22
7.
8. sin-1 (-1.27)
9. cos-1 (-0.61)
Solve the equation for q.
10. sin q = 0.27; 90° <q < 270°
11. tan q = 0.42; 90° <q < 270°
12. cos q = -0.65;
13. tan q = -2.5;
Use the given point on the terminal side of an angle q in standard position to evaluate the six trigonometric functions of q.
14. (-7, -5)
15.
Evaluate the six trigonometric functions of 0.
16. q = 990°
17. q = 8p
Sketch the angle. Then find its reference angle.
18. 159°
19. 310°
20.
21.
22.
Evaluate the function without using a calculator.
23. sec 210°
24. tan 330°
25. cos (-135°)
26. cot (-270°)
27.
28.
29.
Find the arc length and area of a sector with the given radius r and central angle 0.
30. r - 12 in.,
31. r - 16.2 m, q - 100°
Evaluate the trigonometric function using a calculator if necessary. If possible, give an exact answer.
32. sin p
33. cos
34. tan
35. csc
Evaluate the expression without using a calculator. Give your answer in both radians and degrees.
36. cos-1(-1)
37. tan-1
38. sin-1 0
39. sin-1
40. tan-1 1
41. cos-1 2
Solve the equation for 0.
42. sin q = -0.71; 270° q 360°
43. tan q = 1.6;
44. cos q = 0.22;
45. sin q = -0.22; 180° q 270°
Evaluate the expression without using a calculator. Give your answer in both radians and degrees.
46. cos-10
47. tan-1(-1)
48. sin-1 1
49. sin-1
50. tan-1
51. cos-1
Use the given point on the terminal side of an angle q in standard position to evaluate the six trigonometric functions of q.
52. (8,-15)
53. (-7,-2)
Evaluate the six trigonometric functions of q.
54. q = 90°
55. q = -p
Evaluate the function without using a calculator.
56. sin240°
57. tan 150°
58. sec(-315°)
59. cot(-150°)
60.
61.
62.
Evaluate the function without using a calculator.
63. sin 120°
64. tan 210°
65. cos 315°
66. cot (-240°)
67. cos
68. csc
69. sec
70. sin
Solve:
71.
72.
73.