Honors Algebra 2
Unit Circle Day 2 Homework
Name______________________
Date_______________________
Find each value in exact, simplified form. (Hint: Find the reference angle determine
which ordered pair on the unit circle you are dealing with. Then, decide what quadrant
you are in based on the given angle – change to degrees if necessary!!)

1. sin 150˚
2. tan 180˚
3. cos
3
4. sin
9
2
7. cos -150˚
10. csc
15
4
5
4
6. sin
8. cos 8 
9. sec
5. cos
11. cot

2
7
4
 2
3
12. csc
 7
6
True or False:
13. cos 60˚ = sin 30˚
14. tan 90˚ = tan
3
2
15.
sin 135
 1
cos 225
Honors Algebra 2
Unit Circle Day 2 Homework
Name______________________
Date_______________________
If 0    2 , state where each of the following is true:
21. cos θ < 0 and sin θ > 0
22. tan θ < 0 and csc θ < 0
23. Arrange the following values in increasing order:
5
7
sin   , cos
, tan 60  , cos 4 , sin
3
6
24. Showing all work, find the exact value of the following. Simplify your answer.
3
5 2 
7  1  17 
13 
5 

a. 
b.
    cot
   sec

 2    cos 315   (8)  sin 6 
3  4
6 
6 

