Download Test Review Unit Circle, Radians and Law of Sines

Name ______________________________
Review Unit Circle & Radians
STUDY/Memorize the unit circle. Blank unit circles are on my webpage for your practice.
1. The radius of the unit circle is ______________ and the center is at ____________.
2. In an ordered pair, the x coordinate is the __________ of the angle, and the y-coordinate is the
____________ of the angle.
3. In which quadrant(s) would the sin θ be negative?___________ cos θ be negative?___________
4. In which quadrant(s) would the tan θ be positive?___________
5. The two units used to measure angles are _____________ and _______________.
6. Convert the following degrees to radians.
48° ________ 215° _______ 400° ______
7. Convert the following radians to degrees.
9π/4 _______ 5π/12 _______ 3π/10 ______
Find the reference angles #8-12
8. 300°
9. 210°
10. 135°
11. 240°
12. 150°
Find the exact value of the following: #13-18
13. sin
7
6
14. cos
11
6
15. tan
3
4
16. sin 90°
17. cos 120°
18. sin 225°
Are the following positive, negative, or zero? #19-24
19. cos 222°
20. sin 184°
21. cos 140°
23.cos π
22. sin 272°
24. sin π/2
25. Which degree is at point (-1, 0) ?
26. For which two angles is cosθ = ½ ?
27. x = ______
28. x = ______
29. x = ______
A
30. x = ______
X
A
A
32 
7
B
x
C
B
X
6
x
10
4
C
B
62  C
6
4
31. Find the angle the 12 foot ladder
makes with the ground if it is placed
8 feet from the house.
32. How tall is the tree ?
33. Find all missing sides.
45
30
22
76 
45
5m
60
7
Answers
Answers: 1) one, origin
2) cosine, sine
3) a) III, IV b) II, III
4) I, III
5) degrees, radians
6) 4  /15 , 43  /36,
20  /9
7) 405° , 75° , 54°
8) 60°
9) 30°
10) 45°
11) 60°
12) 30°
15) -1
16) 1
17) -1/2
18) 
19) neg
20) neg
21) neg
22) neg
23) neg
24) pos
25) 180°
26) 60°& 300°
27) 44°
28) 7.52
29) 7.08
30) 56°
31) 48°
32) 20 m.
33) 7√3, 14
14)
3 /2
22,
22√2
13) -1/2
2 /2