Could iota ever be real ?

Level 1

Is cos ⁡ ( i ) \cos(i) real or imaginary?

Notation: i = − 1 i = \sqrt{-1} denotes the imaginary unit .

Can't Say It is a variable term Real Imaginary

Atishay Jain by atishay jain , 19, India

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1 solution

Atishay Jain
Nov 3, 2017

C o s ( x ) = e i x + e − i x 2 Cos(x) = \frac{e^{ix} + e^{-ix}}{2} . This is euler's identity.

On putting i i in place of x gives C o s ( i ) = e 2 + 1 2 e Cos(i) = \frac{e^2 + 1}{2e} Which is R e a l Real

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type \cos (x) instead of cos(x), @Chew-Seong Cheong am I right?

Nazmus sakib - 3 years, 7 months ago

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Yes, I have edited the problem adding the reference for imaginary unit.

Chew-Seong Cheong - 3 years, 7 months ago

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