Reciprocal of a complex number

Calculator and formulas for reciprocal (inverse) of a complex number

Reciprocal value calculator

This function calculates the reciprocal of a complex number.

To perform the calculation, enter the value of the complex number whose reciprocal is to be calculated. Then click the button 'Calculate'.

Reciprocal value calculator

Complex number +  i
Decimal places

Formula for reciprocal value

In the following description, \(z\) stands for the complex number. \(x\) stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).

\(z = Re(x)+Im(y)\)


\(z = Re(3)+Im(5)\)
\(\displaystyle\frac{1}{z}= 0.088-0.147i\)
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