Convert a Complex Number to
Polar and Exponential Forms - Calculator

An easy to use calculator that converts a complex number to polar and exponential forms. The idea is to find the modulus r and the argument θ of the complex number such that

z = a + i b = r ( cos(θ) + i sin(θ) ) , Polar form
z = a + ib = r e , Exponential form
with r = √ (a2 + b2) and tan(θ) = b / a , such that -π < θ ≤ π or -180 < θ ≤ 180

How to use the calculator?

Enter the real and imaginary parts a and b and the number of decimals desired and press "enter".



z = + i
decimals =



θ in radians

Polar form :      z =
[ cos( ) + i sin () ]

Exponential form:      z =
e i

θ in degrees

Polar form :      z =
[ cos( ) + i sin () ]

Exponential form:      z =
e i

More References and links

Complex Numbers - Basic Operations
Questions on Complex Numbers
Maths Calculators and Solvers