Complex number form converter

This calculator allows one to convert complex number from one representation form to another with step by step solution. For example, you can convert complex number from algebraic to trigonometric representation form or from exponential back to algebraic, ect. To use the calculator, one need to choose representation form of complex number and input data to the calculator. Not only numbers and fractions are allowed as inputs, but also the symbols (parameters) are accepted. Below is given some theoretical background of the different representation forms of complex numbers.

Expression

,

where - arbitrary real numbers is called algebraic form of complex number.

Expression

where

is called trigonometric form of complex number.

Finally, using the Euler formula:

one can get exponential representation of complex number:

Convert complex number from one representation to another
Complex number is given in algebraic form:z1i3Find its representation in trigonometric form:zrcosφisinφ


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See also:

Scalar triple product online calculator
Vector decompisition in basis online calculator
Check vectors form the basis online calculator

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