- #1

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##e^{jx\cos(\theta)}## is EVEN function respect to ##\theta## as ##e^{jx\cos(-\theta)}=e^{jx\cos(\theta)}##

BUT

##e^{jx\sin\theta\;}## is neither ODD nor EVEN because ##\;e^{jx\sin(-\theta)}=e^{-jx\sin(\theta)}\neq\;^+_- e^{jx\sin\theta}##

Thanks