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September 28th, 2014, 06:47 PM   #1
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Confused on how following was derived

Hello everyone!

I was working on some Fourier transform problems and was going over an example. I am confused on the following was derived:


From:


Any information would be great!
Thanks!
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September 28th, 2014, 07:32 PM   #2
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I presume $\mathbb j = \sqrt{-1}$.

Recall that $$e^{\mathbb j \theta} = \cos \theta + \mathbb j \sin \theta$$and that $\cos x$ is even and $\sin x$ is odd.
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September 29th, 2014, 11:48 AM   #3
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Thank you! That makes sense!
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