www.iTutoring.com -­‐ NOTES Common Angles in Degrees in Radians Name _________________________________ Date ___________________ Period _______ Common Angle to Memorize
To convert degrees to radians, multiply by
Degrees
0º
30º
45º
60º
90º
Radians
0
π
6
π
4
π
3
π
2
π rad
180°
120º 135º 150º 180º
2π
3
3π
4
5π
6
π
Common Angle to Memorize
2π
= 120°
3
3π
= 135°
4
5π
= 150°
6
π = 180°
y
π
= 90°
2
π
= 60°
3
π
= 45°
4
π
= 30°
6
0 = 0°
x
Common Angle to Memorize
4π
2π
=
= 120°
6
3
5π
= 150°
6
y
3π
π
= = 90°
6
2
π
π
= 30°
= 30°
6
6
π
= 30°
6
π
= 30°
6
π
= 30°
6
π
= 30°
6
6π
= π = 180°
6
2π
π
= = 60°
6
3
π
= 30°
6
0 = 0°
x
6π
= π = 180°
6
Common Angle to Memorize
0 = 0°
y
π
= 30°
6
π
= 30°
6
π
= 30°
6
7π
= 210°
6
8π
4π
=
= 240°
6
3
π
= 30°
6
π
π
= 30°
= 30°
6
6
9π
3π
=
= 270°
6
2
x
12π
= 2π = 360°
6
11π
= 330°
6
10π
5π
=
= 300°
6
3
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Common Angles in Degrees and Radians Pg. 2 Common Angle to Memorize
y
2π
π
= = 90°
4
2
3π
= 135°
4
π
= 45°
4
π
= 45°
4
4π
= π = 180°
4
π
= 45°
4
π
= 45°
4
π
= 45°
4
0 = 0°
x
4π
= π = 180°
4
Common Angle to Memorize
π
= 45°
4
0 = 0°
y
π
= 45°
4
5π
= 225°
4
π
= 45°
4
x
8π
= 2π = 360°
4
π
= 45°
4
7π
= 315°
4
6π
3π
=
= 270°
4
2
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Common Angles in Degrees and Radians Pg. 3 Common Angle to Memorize
Degrees
0º
30º
45º
60º
90º
Radians
0
π
6
π
4
π
3
π
2
120º 135º 150º 180º
2π
3
3π
4
5π
6
π
Degrees 180º 210º 225º 240º 270º 300º 315º 330º 360º
Radians
π
7π
6
5π
4
4π
3
3π
2
5π
3
7π
4
11π
6
2π
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Common Angles in Degrees and Radians Pg. 4