Find the modulus and argument of a complex number. Enter its real and imaginary parts.
Modulus
—
Distance from origin.Usage Tip
The modulus and argument are the polar coordinates of a complex number; the real and imaginary parts are its rectangular coordinates.
THE MATH
modulus = √(a² + b²)
argument = atan2(b, a)
argument = atan2(b, a)
The modulus is a complex number’s distance from the origin in the complex plane.
The argument is the angle it makes with the positive real axis — together they give its polar form.
The argument is the angle it makes with the positive real axis — together they give its polar form.
Enter the real part (a) and imaginary part (b).
The argument is shown in degrees and radians.
Modulus is always non-negative.
The argument is shown in degrees and radians.
Modulus is always non-negative.