Coterminal Angle Calculator
Find positive and negative coterminal angles for any input.
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In degrees
Coterminal Angles
Enter an angle and click calculate.
What are coterminal angles?
Coterminal angles share the same terminal side when drawn in standard position. You can find them by adding or subtracting any whole multiple of 360°. They have identical sine, cosine, and tangent values.
Frequently Asked Questions
What is a coterminal angle?▾
Two angles are coterminal if they share the same terminal side when drawn from the positive x-axis. They differ only by full 360° rotations.
How do I find coterminal angles?▾
Add or subtract 360° (or 2π radians) any number of times. Each result is a coterminal angle.
How many coterminal angles does an angle have?▾
Infinitely many — one for every integer multiple of 360° you add or subtract.
Do coterminal angles have the same trig values?▾
Yes. Because they share a terminal side, all six trig functions evaluate identically for coterminal angles.