Download Trigonometry Extra Credit Assignment Find one positive and one

Trigonometry Extra Credit Assignment
Find one positive and one negative coterminal angle of each of the following. There is no need to graph the
angles.
A) 30°
B) −
2π
3
C)
5π
2
D)
π
3
Use the unit circle to find the exact value of each of the following. (Exact value means no decimal
approximations.)
 10π
E) tan  −
 3
I) sin

=

F) csc
7π
=
3
 5π 
J) csc  −
=
 6 
13π
=
4
 19π
M) sec  −
 3

=

N) cot
π
=
4
G) sec
 11π
H) cos  −
 6
4π
=
3
 π
K) tan  −  =
 6
O) cot
11π
=
6
L) cot
2π
=
3
P) sin
21π
=
4
Find the exact values of the six trigonometric functions of θ .
Q)
R)
sin θ =
csc θ =
sin θ =
csc θ =
cos θ =
sec θ =
cos θ =
sec θ =
tan θ =
cot θ =
tan θ =
cot θ =
For each of the following, find the reference angle θ ' .
S) θ = 57°
T) θ = 113°
U) θ =
7π
6
V) θ =
5π
3

=

Find the exact value of the six trigonometric functions of an angle θ , in standard position, given the
following information.
3
W) Given sin θ = the angle θ lies in quadrant II. X) Given tan θ = 3 the angle θ lies in quadrant III.
5
sin θ =
csc θ =
sin θ =
csc θ =
cos θ =
sec θ =
cos θ =
sec θ =
tan θ =
cot θ =
tan θ =
cot θ =
Y) tan θ = −
5
, sin θ < 0
2
Z) cos θ =
3
, sin θ < 0
2
sin θ =
csc θ =
sin θ =
csc θ =
cos θ =
sec θ =
cos θ =
sec θ =
tan θ =
cot θ =
tan θ =
cot θ =