Coterminal Angle Calculator

Coterminal angles are angles which share the same initial side and terminal sides. Use the below online coterminal angle calculator to find out the positive and negative coterminal angles for the given angle by entering angle value in the input field.

Finding Coterminal Angles

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Coterminal angles are angles which share the same initial side and terminal sides. Use the below online coterminal angle calculator to find out the positive and negative coterminal angles for the given angle by entering angle value in the input field.

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Formula:

Co-terminal Angle
Positive Angle1 = Angle + 360 Positive Angle2 = Angle + 720 Negative Angle1 = Angle - 360 Negative Angle2 = Angle - 720

The side that defines the coterminal angle is called as the terminal side. Finding such angles is as simple as adding or subtracting 360° or 2π to each angle. There are an infinite number of coterminal angles that can be found. In the above image, angle ABC and DCB are coterminal angles drawn in standard position with AB and CD as terminal sides. This online coterminal angle calculator can efficiently calculate the positive and negative angles discarding the manual error.

Example

Coterminal Angle

Coterminal of 50 °,
Positive Angle for 360 degree = 50 + 360 = 410 °
Positive Angle for 720 degree = 50 + 720 = 770 °
Negative Angle for 360 degree = 50 - 360 = -310 °
Negative Angle for 720 degree = 50 - 720 = -670 °

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