Download Evaluate the expression without using a calculator

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