Coterminal Angle Calculator

🔄 Coterminal Angle Calculator

Find angles that share the same terminal side.

Principal Coterminal Angle

Origin

Principal Angle (0° to 360°)

–° — rad

Other Coterminal Examples

+1 Rotation: –°
+2 Rotations: –°
-1 Rotation: –°
-2 Rotations: –°

The Formula

Coterminal angles ($\theta’$) are found by adding or subtracting multiples of $360^\circ$ (or $2\pi$ radians) to the original angle ($\theta$).

$$\theta’ = \theta + 360^\circ k$$

where $k$ is any integer ($\pm 1, \pm 2, \ldots$).

**Disclaimer:** The visualization shows the terminal side of the Principal Angle (0° to 360°). It does not show the full rotation path of the input angle.

Scroll to Top