# 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 ? of the complex number such that

Let z be complex number in standard form given by : z = a + i b. The polar and exponential forms of z are given by:
z = a + i b = r ( cos(?) + i sin(?) ) , Polar form
z = a + ib = r ei? , Exponential form
with r = √ (a2 + b2) and tan(?) = b / a , such that -? < ? ? ? or -180° < ? ? 180°

## Use Calculator to Convert a Complex Number to Polar and Exponential Forms

Enter the real and imaginary parts a and b and the number of decimals desired and press "Convert to Polar and Exponential".

 z = -1 + i -1 decimals = 5 ? in radians Polar form :      z = [ cos( ) + i sin ( ) ] Exponential form:      z = e i ? in degrees Polar form :      z = [ cos( ) + i sin ( ) ] Exponential form:      z = e i

Operations on Complex Numbers in Polar Form
Complex Numbers - Basic Operations
Questions on Complex Numbers
Maths Calculators and Solvers