# UNIT 6 WORKSHEET 9 USING THE UNIT CIRCLE Use the unit

```UNIT 6 WORKSHEET 9
USING THE UNIT CIRCLE
Use the unit circle above to find the exact value of each of the following. (Exact value means no decimal
approximations.)
A) sin
3π
=
2
 5π
D) sec  −
 6
G) csc
B) csc

=

26π
=
3
7π
=
4
C) tan
π
=
3
 11π 
E) cot  −

 6 
 π
F) cos  −  =
 3
 10π 
H) tan  −
=
 3 
I) sec
19π
=
4
J) cos ( −225 ) =
M) csc
2π
=
3
 13π
P) cos  −
 4
S) cot
K) cos 0 =

=

N) cot
4π
=
3
O) sin ( −480 ) =
Q) sin
47π
=
6
R) sec 900 =
 11π 
T) tan  −
=
 3 
13π
=
2
V) Find all angles θ in the interval [ 0, 2π ) that satisfy the expression:
sin θ = −
1
2
θ = _____________________
W) Find all angles θ in the interval [ 0, 2π ) that satisfy the expression:
sec θ = − 2
θ = _____________________
X) Find all angles θ in the interval [ 0, 2π ) that satisfy the expression:
tan θ = undefined
θ = _____________________
Y) Find all angles θ in the interval [ 0, 2π ) that satisfy the expression:
csc θ = −
2 3
3
L) sec ( −780 ) =
θ = _____________________
U) sin
25π
=
6
```