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December 3rd, 2016, 06:24 AM   #1
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simple exponential functions

why e^i*pi/4 = 1+i/root2 ?

Last edited by hkg277340; December 3rd, 2016 at 06:55 AM.
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December 3rd, 2016, 07:00 AM   #2
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Quote:
Originally Posted by hkg277340 View Post
why e^i*pi/4 = 1+i/root2 ?
because ...

$e^{i \theta}=\cos{\theta}+i \sin{\theta}$
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December 3rd, 2016, 10:09 AM   #3
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thank you dude!
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December 3rd, 2016, 10:54 AM   #4
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Quote:
Originally Posted by hkg277340 View Post
why e^i*pi/4 = 1+i/root2 ?
You are missing grouping symbols. I state that, because your expressions on each side on wrong.


e^(i*pi/4) = (1 + i)/(root2)

or

$\displaystyle e^{i*\pi/4} \ = \ \dfrac{1 + i}{\sqrt{2}}$
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