Calculator for the angle of a complex number
Enter a complex number to perform the angle calculation. Then click the 'Calculate' button.
The result can be displayed in degrees or radians.

Angle φ = 45°
Every complex number \(z\) can be represented as a vector in the Gaussian number plane. This vector is uniquely defined by the real part and the imaginary part of the complex number \(z\).
A vector emanating from the zero point can also be used as a pointer. This pointer is uniquely defined by its length and the angle \(φ\) to the real axis (x).
Positive angles are measured counterclockwise, negative angles are clockwise.
\(\displaystyle θ = tan^{1}\left(\frac{y}{x}\right) \)
\(\displaystyle θ = tan^{1}\left(\frac{3}{4}\right) ≈ 36.87 \)
