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Trigonometry Chapter Three Sample Test Name_________
1. Convert 315 degrees to radian measure and leave in terms of  . (3.1 pg 106-107)
2. Convert 760 degrees to radian measure and leave in terms of  . (3.1 pg 106-107)
3. Convert 15 12' 10" to radian measure and round to 2 decimal places. (3.1 pg 106-107)
7
to degree measure. (3.1 pg 106-107)
5
19
5. Convert
to degree measure. (3.1 pg 106-107)
20
4. Convert
6. Convert 1 radian to degree measure. (3.1 pg 106-107)
Find the exact value of each expression. (3.1 pg107 or 3.3 pg126)
7. cos
2
3
11. sin 
15. cot
7
4
8. csc
 11 
9. cot

 6 
4
3
  14 
12. tan 

 3 
16. sin
4
6
  13 
13. sec 

 3 
17. csc
5
3
10. sin
 7
6
  
14. cos 

 6 
18 cos
 3
4
(3.2 pg 113-116)
19. Find the arc length if the radius is 10 inches and the measure of the angle in radians

is .
6
20. Find the arc length if the radius is 18 in and the measure of the angle in degrees is
72  .
21. Find the radius of the circle if the arc length is 17.86 and the angle is 1.113 radians.
22. Find the measure (in radians) of a central angle that intercepts an arc of length 10cm
in a circle of radius 4.5cm.
23. Find the area of a sector if the radius is 15 cm and the measure in radians of a
central angle is 4.
24. Find the area of the sector if the radius is 6 and the arc length is 2 .
25.Find the measure of the central angle in radians if the area of the sector is 801 sq
units and the radius is 60.
Use a calculator in radian mode to find each. (3.3 pg 126)
26. sin .116429
27. sec 7.4526
 
Find the value of s in the interval 0,  that makes each statement true. (3.3 pg 127)
 2
28. cos s  .212
29. csc s  3.412
Find the exact value of s . (3.3 pg 127)
1
 
30.  ,   cos s 
2
2 