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# Explain E.

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please explain how e to the power of pi i is equal to negative 1

May 19, 2017

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I do not know if this will satisfy you but

$$e^{i\theta}\quad \text{can be written as }cos\theta+isin\theta\\ so\\ e^{\pi i}=cos\pi +isin\pi = -1+i*0 = -1$$

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May 19, 2017