Math Calculators

Reference Angle Calculator

Find the acute reference angle for any given angle, including angles beyond 360° or negative angles.

Normalized angle (0-360°) —

Reference angle —

About the Reference Angle Calculator

The reference angle is the acute angle (between 0° and 90°) formed between the terminal side of an angle and the x-axis — used to simplify trigonometric calculations for angles in any quadrant.

Formula: depends on the quadrant of the normalized angle (0-360°).