Math III Representations
Unit 3A Review
1.
Name:
Find the measure of A and B in the diagram.
9cm
A
C
40cm
B
2.
Given the following diagram, find all three trig ratios of A .
B
4
2
C
3.464
3. Convert 125  to radians. Leave answer exact.
A
4. Find the coordinates of the point where the terminal side of a angle with the measure of
315 intersects the unit circle.
5. Find the exact value of the trig function sin
3
.
2
6. Find the coordinates of the point where the terminal side of
7. Find the exact value of the trig function cos
3
.
4
8. 6 revolutions is the same as how many radians?
9. Determine the trig value of tan 300

3
intersects the unit circle.
10. Find the cos180 .
11. True/False? cos  is negative in the second quadrant.
12. True/False? sin  
3
has exactly two solutions for 0    2 .
2
13. Reference angles are always less than _______ degrees.
14. Sketch
4
and find the reference angle.
5
15. Determine the reference angle for an angle that measures 1210
16. Demonstrate how to convert
4
degrees. Round to the nearest tenth.
11
17. Find the tan
5
. Justify mathematically.
3
18. Solve the equations
8 cos x  4 3  0
for  with 0  x  2 .
19. Solve the equations 2 sin   1 for  with 0  x  2 .
9. Which interval yields cos 
20. Solve the equations
1
to have 1 solution?
2
8sin   6  2 for
x with 0  x  360 .