Reference Angle Chart
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1
2
3
4
5Name: ______________________________
Date: _______________________________
3.1 Warm Up
Period: ______
Trigonometry-
Let’s Recall from Chapter 1!
A reference angle (for any angle in standard position) is the positive acute angle made with the x-axis
and the terminal side of the angle.
The Chart (must be memorized!)
0
30
45
60
90
S
A
sin
0
1
1
2
3
2
2
2
cos
1
0
1
3
2
2
2
2
tan
0
1
Undefined
3
3
T
C
3
1.
Draw the following angles in standard position and name the reference angle.
D
D
.
317
.
99
9 .
a
b
D
D
.
190
.
400
c
d
2.
Find the exact value for each of the following.
D
D
.
cos
315
.
sin
240
Steps:
a
b
1.
Identify the quadrant in
which the angle terminates.
(This will determine the
D
D
.
tan
150
.
sec
120
sign of the exact value)
c
d
2.
Identify the reference angle.
3.
Look up the trig value for
the reference angle.
A
S
T
4.
Using
ll
tudent
ake
D
D
.
sin
225
.
cot
330
C
C
alculus (or
lasses),
e
f
determine the appropriate
sign.
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