Algebra II with Trigonometry
TRIG-4
THE UNIT CIRCLE
WORKSHEET #1
(TB 12-3)
Complete the table of values below.
30 or
p
p
45 or
6
4
60 or
p
3
sin 
cos 
tan 
Evaluate the following and give an exact value.
1)
sin 210o
2)
tan 315o
3)
cos 150o
4)
csc 225o
5)
sin
6)
sin
7)
sec -
8)
cot
9)
cos -
10)
tan
11)
For an angle Q in standard position, sinQ =
4p
3
5p
6
11p
6
be 225o? Justify your reasoning.
12)
2
2
3p
4
7p
4
-7p
3
and tanQ = -1 . Can the value of Q
Sketch a 45o–45o–90o triangle and a 30o–60o–90o triangle with a hypotenuse of 1.
Find the lengths of the sides of the triangles.
Algebra II with Trigonometry
TRIG-4
THE UNIT CIRCLE
WORKSHEET #2
(TB 12-3)
Complete the table of values below.
30 or
p
45 or
6
p
60 or
4
sin 
cos 
tan 
Evaluate the following and give an exact value.
1)
cos 135o
4)
cot
7)
sin
10) cot
13) sin
23p
6
15p
4
-9p
4
-7p
3
2)
tan 330o
5)
sec
8)
cos
11) sec
14) cos
-19p
6
-3p
4
-21p
4
16p
3
3)
csc -45o
6)
csc
9)
tan
12) csc
15) tan
29p
6
25p
4
17p
4
10p
3
p
3
Algebra II with Trigonometry
TRIG-4
THE UNIT CIRCLE
WORKSHEET #3
(TB 12-3)
Reconstruct the chart of special values and the unit circle below.
Evaluate each of the following and provide an exact answer.
1)
sin 300o
2)
sec 120o
3)
sin 270o
4)
tan -90o
5)
cot18p
6)
csc -
7)
tan
8)
sin
9)
sec
10)
csc
11)
tan -15
12)
sin 181
13p
6
253p
2
5p
4
3p
2
-21p
2
Algebra II with Trigonometry
TRIG-4
THE UNIT CIRCLE
REVIEW
1)
Evaluate each of the following. Give an EXACT answer.
b)
sin
5p
3
3p
4
d)
cos
11p
6
cos
4p
3
f)
sin
7p
6
g)
tan
5p
6
h)
tan
3p
4
i)
cos
j)
sin
7p
2
k)
cot
8p
3
l)
sec
5p
3
m)
cos 9
n)
tan
o)
tan -5
a)
cos
c)
cos
e)
p
6