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