(→Euler's Forumla) |
(→Euler's Forumla) |
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<math> e^{ix} = \cos x + i * \sin x </math> | <math> e^{ix} = \cos x + i * \sin x </math> | ||
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| + | ==Proof== | ||
| + | |||
| + | Using Taylor Series: | ||
| + | |||
| + | <math> e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots </math> | ||
Revision as of 04:35, 5 September 2008
Euler's Forumla
$ e^{ix} = \cos x + i * \sin x $
Proof
Using Taylor Series:
$ e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots $
