Coterminal Angles

Coterminal angles are angles in standard position (angles with the initial side on the positive Math formula -axis) that have a common terminal side.  For example Math formula , Math formula and Math formula are all coterminal.

Math diagram

To find a positive and a negative angle coterminal with a given angle, you can add and subtract Math formula if the angle is measured in degrees or Math formula if the angle is measured in radians .

Example 1:

Find a positive and a negative angle coterminal with a Math formula angle.

Math formula

A Math formula angle and a Math formula angle are coterminal with a Math formula angle.

    Math diagram

Example 2:

Find a positive and a negative angle coterminal with a Math formula angle.

Math formula

A Math formula angle and a Math formula angle are coterminal with a Math formula angle.

    Math diagram

 

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