Coterminal Angles

How to find the coterminal angle

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side like 110° and -250°

Picture of two coterminal angles

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n=0,1,2,3, ...

  • 45 ° and − -315°
  • 90° and 450 °
  • 180° and − 180°
  • 170° and − 190°
  • 100° and − 260°
  • 360° and 720 °
  • 360° and − 360°

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