e i π e^{i\pi}

Number Theory Level 1

True or False

e i π \LARGE e^{i\pi} is a Real number.

  • We know, all real number are also complex number. But here, we should consider that, if this number is real number,then the ans is T r u e True , otherwise F a l s e False .
False True

Md Mehedi Hasan by Md Mehedi Hasan , 22, Bangladesh

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1 solution

Md Mehedi Hasan
Nov 7, 2017

e i π = c o s π + i s i n π = − 1 + i × 0 = − 1 e^{i\pi}=cos\pi+isin\pi=-1+i\times0=\boxed{-1}

Which is a Real value. So the statement is T r u e \boxed{\color{#20A900}True}

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