Expert: Richard J. Raridon - 7/17/2009

Question
  Find the number of equivalent radians in exact value: 270°
  
2p
3
  
2
3p
  
3p
2
  
3
2p
2.   Find the number of equivalent radians in exact value: -180°
  
1
p
  
3
2p
  -p      2p
3.   Find the number of equivalent radians in exact value: 495°
  
4p
11
  
4
11p
  
11p
4
  
11
4p
4.   
Find the degree measure:   -p
2
  -270°      180°
  -90°      0°
5.   
Find the degree measure:   3p
4
  75°      45°
  215°      135°
6.   
Find the degree measure:   9p
4
  135°      405°
  445°      215°
7.   
Find the degree measure for the radian value:   -1
2
  
-90
p
  
-180
p
  
-p
2
  
-p
4
8.   Convert the given angle to the appropriate radian value: 300°
  5.24      4.76
  5.82      4.64
9.   Convert the given angle to the appropriate radian value: 255°
  1.05      8.97
  4.45      5.34
10.   Convert the radian measure to decimal degrees: -1.6
  -57.99°      -83.46°
  -74.68°      -91.7°
11.   Find the measure of the angle between 0 and 2p that is coterminal with
a, where the degree measure of a = -60°.
  5.24      9.39
  3.42      2.34
12.   A merry-go-round 40 feet in diameter makes four revolutions every
minute. What is the speed of the seat on the rim?
  88.57 ft/min      502.65 ft/min
  1,005.31 ft/min      54.36 ft/min
13.   Find the approximate sine, cosine, and tangent values for the radian
measure: 1.4
  sine = 0.9854, cosine = 5.7979, tangent = 0.1700      sine = 0.9854,
cosine = 0.1700, tangent = 5.7979
  sine = 0.1700, cosine = 0.9854, tangent = 5.7979      sine = 5.7979,
cosine = 0.1700, tangent = 0.9854
14.   Find the approximate sine, cosine, and tangent values for the radian
measure: 0.7.
  sine = 0.6442, cosine = 0.8423. tangent = 0.7648      sine = 0.8423,
cosine = 0.6442, tangent = 0.7648
  sine = 0.6442, cosine = 0.7648, tangent = 0.8423      sine = 0.8423,
cosine = 0.7648, tangent = 0.6442
15.   
Find the exact values for the trig functions, with radian measure:   p
4
  sin = 1.414, cos = 1.414, tan = 0.7071, csc = 1, sec = 1, cot = 0.7071      
sin = 0.7071, cos = 0.7071, tan = 1, csc = 1.414, sec = 1.414, cot = 1
  sin = 1, cos = 1, tan = 1.414, csc = 0.7071, sec = 0.7071, cot = 1.414      
sin = 1, cos = 1, tan = 0.7071, csc = 1.414, sec = 1.414, cot = 0.7071
16.   
Find the exact values for the trig functions, with radian measure:   3p
4
  sin = -1, cos = -1, tan = 1.414, csc = 0.7071, sec = -0.7071, cot = -
1.414      sin = 1.414, cos = -1.414, tan = -0.7071, csc = -1, sec = -1,
cot = 0.7071
  sin = -1.414, cos = 1.414, tan = 0.7071, csc = -0.7071, sec = -1, cot =
-1      sin = 0.7071, cos = -0.7071, tan = -1, csc = 1.414, sec = -1.414,
cot = -1
17.   Find the exact value for the trig functions, with radian measure: p
  sin = 0, cos = -1, tan = 0, csc = undefined, sec = -1, cot = undefined      
sin = -1, cos = 0, tan = undefined, csc = -1, sec = 0, cot = undefined
  sin = -1, cos = undefined, tan = 0, csc = undefined, sec = -1, cot = 0      
sin = 0, cos = undefined, tan = -1, csc = undefined, sec = -1, cot = 0
18.   Find the number x if 0 ≤ x ≤ p/2 and x has the given function: csc x =
1.018
  0.999      0.0171
  1.23      1.38
19.   Find the exact radian value of x, where tan x = 1
  0.0548      0.9985
  
p
4
  0.4356
20.   
Express in degree measure:   -5p
6
  150      -150
  200      -225
21.   
Express in degree measure:   7p
4
  300      145
  315      225
22.   
Express in degree measure:   -3p
2
  270      180
  -180      -270
23.   Express in radian measure in terms of p: 140 degrees
  
7p
9
  
-3p
2
  
6p
5
  
-9p
7
24.   Express in radian measure in terms of p : 90 degrees
  
p
7
  
p
3
  
-p
5
  
p
2
25.   Express in radian measure in terms of p: -120 degrees
  
-2p
3
  
p
3
  
2p
2
  
2p
3
26.   Express the given radian measure in degree measure to the nearest
degree: 2
  110      220
  115      105
27.   Express the given radian measure in degree measure to the nearest
degree: -4
  -220      -115
  -229      -325
28.   Express the given radian measure in degree measure to the nearest
degree: 2.3
  130      131
  132      133
29.   Express the given radian measure in degree measure to the nearest
degree: -5.1
  -264      -292
  -324      -426
30.   Express the given radian measure in degree measure to the nearest
degree: -1
  -61      -50
  -72      -57

Answer
If this was a cross check why didn't you indicate which answers you thought were correct?   
1. 3p/2
2. p
3. 11p/4
4. -90
5. 135
6. 405
7. -28.65 degrees
8. 5.24
9. 4.45
10. -91.7
11. 5.24
12. 502.65 ft/min
13. sine=0.9854, cos=0.1700, tan=5.7919
14. sine=0.6442, cos=0.7648, tan=0.8423
15. sine=0.7071, cos=0.7071, tan=1, sec=1.414, csc=1.414, cot=1
16. sine=0.7071, cos=-0.7071, tan=-1, sec=-1.414, csc = 1.414, cot=-1
17. sine=0, cos=-1, tan=0, csc=undef, sec=-1, cot=undef
18. 1.38
19. p/4
20. -150
21. 315
22. -270
23. 7p/9
24. p/2
25. -2p/3
26. 115
27. -229
28. 132
29. -292
30. -57