Coterminal Angles
Angles in Standard Position
Positive Angles
Negative Angles
Draw the given angle in standard
position.
1. 136°
2. −62°
3. 450°
2𝜋
3
4.
Draw the given angle in standard
position.
5. 270°
7.
8𝜋
−
3
6. −𝜋
8.
5𝜋
4
A couple more. . .
9. 150°
10. −210°
Definition:
--Same angles with different measures are called
coterminal angles.
--Coterminal angles have the same initial and
terminal sides but are named differently.
Finding coterminal angles
In degrees—add or subtract 360°
Ex: 150°
In radians—add or subtract 2𝜋
Ex:
𝜋
3
Find a positive angle and negative angle that are
coterminal with the given angle.
1. 75°
2.
2𝜋
3
Find a positive angle and negative angle that are
coterminal with the given angle.
3. −200°
4.
𝜋
8
Find a positive angle and negative angle that are
coterminal with the given angle.
5. 410°
6.
5𝜋
4
Identify the angle that is not
coterminal with the others:
1. −120°, 600°, −480°, 180°, 240°
Which one is not coterminal with the
others?
2.
𝜋 49𝜋 21𝜋
9𝜋 11𝜋
,
,
,− ,
5 5
5
5
5