Question

e(^ipie)+1=0 prove that

Answer 1

$from \:$
L. H. S. =
$e {}^{i\pi} + 1 \\ \\ = \cos(\pi) +i \sin(\pi) + 1 \: \: \: \: (since \: e {}^{i \alpha } = \cos( \alpha ) + i \sin( \alpha ) )\\ \\ =- 1 + 0 + 1 \\ \\ = 0 \\ \\ proved$
= R. H. S.

proved

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