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The identity e^(iπ)+1 = 0 is a well known equation that can be proven mathematically It is an identify that contains the most beautiful entities encountered in math namely π i e 0 and 1.

Euler's formula: e^(i pi) = 1

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Question Corner Why is e^(pi*i) = 1?

Explanation we use Euler’s relationship eiθ = cosθ + isinθ eiπ = cosπ +isinπ = − 1 +0i = − 1 4 = cos( π 4) + isin( π 4) = √2 2 + i √2 2 = √2 2 (1 +i) Answer link20180326201802102016051720140801.

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e^(ipi) WolframAlpha

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What is Special in Euler’s identity ( e^ ipi +1=0)?

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