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===Euler's Equation And De Moivre's Formula=== | ===Euler's Equation And De Moivre's Formula=== | ||
− | If z = z + iy, then e^{z} is defined to be the complex number | + | If <math>z = z + iy</math>, then <math>e^{z}</math> is defined to be the complex number |
<math> | <math> |
Revision as of 22:25, 2 December 2018
Euler's Equation And De Moivre's Formula
If $ z = z + iy $, then $ e^{z} $ is defined to be the complex number
$ \begin{align} e^{z} &= e^{x}(\cos(y) + i\sin(y)) \end{align} $