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===Euler's Equation And De Moivre's Formula=== | ===Euler's Equation And De Moivre's Formula=== | ||
| − | + | Euler's Equation is put simply as the following: | |
| + | |||
| + | <math> | ||
| + | \begin{align} e^{iy} | ||
| + | &= \cos(y) + i\sin(y) | ||
| + | \end{align} | ||
| + | </math> | ||
| + | |||
| + | |||
| + | In a more general case, it can more important to see if <math>z = z + iy</math>, then <math>e^{z}</math> is defined to be the complex number | ||
<math> | <math> | ||
Revision as of 22:36, 2 December 2018
Euler's Equation And De Moivre's Formula
Euler's Equation is put simply as the following:
$ \begin{align} e^{iy} &= \cos(y) + i\sin(y) \end{align} $
In a more general case, it can more important to see 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} $
