Coterminal Angles Explained: How To Find Them And Their Importance In Trigonometry

coterminal angle

2 angles that have the same initial and terminal side but different angle measures

A coterminal angle is an angle that shares the same initial and terminal sides as another angle. In other words, two angles are coterminal if they start at the same position and end at the same position on the unit circle.

For example, an angle of 60 degrees has a coterminal angle of -300 degrees and an angle of 420 degrees. To find a coterminal angle, you can add or subtract any multiple of 360 degrees to the initial angle.

There are infinite number of coterminal angles for any given angle. Coterminal angles are often used to find equivalents when working with trigonometric functions since they have the same values for sine, cosine, tangent, and other trigonometric functions.

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