Coterminal Angle Calculator


About Coterminal Angle Calculator (Formula)

A “Coterminal Angle Calculator” is a tool used to find coterminal angles for a given angle. Coterminal angles are angles that share the same initial and terminal sides but may have different measurements. This calculator is useful in trigonometry and geometry to explore equivalent angles within the unit circle or on the Cartesian plane. The formula for calculating coterminal angles provides insights into finding angles that have the same position but differ by a multiple of 360 degrees or 2π radians.

The formula for calculating Coterminal Angle is:

Coterminal Angle = Original Angle + 360° * n


  • Coterminal Angle is the angle that shares the same initial and terminal sides as the original angle.
  • Original Angle is the given angle.
  • n is an integer that represents the number of complete revolutions (360°) added to the original angle.

This formula allows you to find coterminal angles by adding or subtracting multiples of 360 degrees to the original angle.

For example, if the original angle is 150° and you want to find a coterminal angle within one complete revolution (360°), you can calculate:

Coterminal Angle = 150° + 360° * 1 = 510°

This means that 150° and 510° are coterminal angles.

The Coterminal Angle Calculator is used in trigonometric calculations, navigation, and geometry to explore different angles that represent the same position. It’s particularly helpful in simplifying trigonometric calculations and understanding angle relationships.

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