Name: __________________________________________________________ Date: ___________________________
Pre-Calc – Review for Trig Test 1 – Circular Trig and Sum, Difference, Double Angle Identities
1. In which quadrant of the coordinate plane does the
angle 125 lie?
2. In which quadrant of the coordinate plane does the
angle 165 lie?
3. Convert 140 to radian measure and express the
answer in terms of  .
4. Convert
4
to degree measure.
9
5. In which quadrant does the terminal ray of a standard
6. In a circle, an angle of 3 radians intercepts an arc of
length 12. What is the length of the radius of the circle?
7. In the accompanying diagram of a unit circle, what are
the coordinates of  x, y  ?
8. In the accompanying diagram of a unit circle, the
11
position angle of
radians lie?
4



ordered pair  
3 1
,   represents the point where
2
2
the terminal side of  intersects the unit circle. What is
the measure of  ?
9. If sin A  0 and  sin A cos A  0 , in which
quadrant does A terminate?
11. Find the exact value: cos 2

3
 sin
3
2
13. What is the reference angle for a standard position
angle of 230 ?
10. Find the exact value: sin
3

 cos
2
4
12. What is the reference angle for a standard position
angle of
4
radians?
3
14. Find the exact value: sin
7
6
15. Find the exact value: tan
7
4
 8 

 3 
17. Find the exact value: cos 
19. Find the exact value: tan 255
 2 

 3 
16. Find the exact value: sin  
18. Find the exact value:
cos100 cos80  sin100 sin80
20. Find the exact value: sin345
 3

    sin 
 2

21. Prove the statement: cos 
23. What is the exact value of 2 cos 2 67.5  1 ?
25. What is the value of tan 2A when tan A   6 ?
4
 5

   if tan   .
5
 4

22. Find the value of tan 
24. What is the exact value of 2sin
26. Find cos 2 if sin  
5
.
3
11
11
?
cos
12
12