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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} $ (7)


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} $ (7)

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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