# 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°

## 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 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