Editing PolarRepresentationOfAComplexNumber
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Euler showed that given a complex number $a+bi$ there are real number $r$ and $\theta$ such that: [[[> The transcendental number $e$ _ is also named after Euler. ]]] * $a+bi=re^{i\theta}$ This is the so-called polar representation of a complex number. The value $r$ is the magnitude of a complex number and is calculated using Pythagoras' Theorem as: * $r~=~\sqrt{a^2+b^2}$ Using this representation we get the identity: * $a+bi~=~r(\cos(\theta)+i\sin(\theta))$