Reference Angle and Quadrant Calculator

This online calculator finds the reference angle and the quadrant to a trigonometric angle in standard position. The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. The given angle may be in degrees or radians.

How to use the calculator 1 - Enter the angle:

  • in Degrees top input. (example 745)

  • in Radians second input. (example 12/5 π)
then press the button "enter" on the same row.

If you enter a quadrantal angles such as 90, -180, 0..., the message "This is a quadrantal angle" will be displayed.

Enter Angle in Degrees

Reference Angle in Degrees


Enter Angle in Radians


Reference Angle in Radians


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Additional Info