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.