Odd and even function

  • Thread starter yungman
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  • #1
yungman
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Just want to verify

##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
 

Answers and Replies

  • #2
dirk_mec1
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True.
 
  • #3
yungman
5,624
226
True.

Thanks

Also ##\sin(x\cos\theta)## is an EVEN function as ##\sin[x\cos(-\theta)]=sin(x\cos\theta)##.

Thanks for your help.
 
  • #4
dirk_mec1
761
13
Yes, w.r.t to theta.
 
  • #5
yungman
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226
  • #6
SteamKing
Staff Emeritus
Science Advisor
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w.r.t. = 'with respect to'
 

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