[itex] e^{ix}=cos(x)+isin(x) [/itex](adsbygoogle = window.adsbygoogle || []).push({});

Simple enough?

Well I am biting my head off because I don't know how he did it.

Why is this bothering me?

e^{x}is not a periodic function. How in the world magic happens when you put an i into exponent, and it gets periodic.

I want to know this so badly.

Why is this bothering me, further?

Because I am doing signal analysis and everything, from complex exponential LTI response to Fourier analysis is based on this 2 inch formula.

:(

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# How did Euler come up with his famous formula?

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