Work out modulus and argument instantly with clear inputs, formula shown and shareable results.
The modulus is the distance from the origin in the Argand plane and the argument is the angle from the positive real axis. Using atan2 gives the principal argument in (−180°, 180°] with the correct quadrant.
Modulus and argument
|z| = √(a² + b²), arg z = atan2(b, a)
The modulus is 2 and the argument is 120°, since the point lies in the second quadrant.
The representative in (−π, π]. Adding any multiple of 2π gives the same complex number.