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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 , Exponetial form

with r = √ (a2 + b2) and tan(θ) = a / b , 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


z = (cos( ) + i sin () , Polar form

z = e i , Exponential form

θ in degrees


z = (cos( ) + i sin () , Polar form

z = e i , Exponential form
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