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Coterminal Angles
Angles in Standard Position
Positive Angles Negative Angles
Draw the given angle in standard position.
1. 136° 2. −62°
3. 450° 4. 2𝜋
3
Draw the given angle in standard position.
5. 270° 6. −𝜋
7. −8𝜋
3 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
5,
49𝜋
5,
21𝜋
5, −
9𝜋
5,
11𝜋
5