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Odd and even function

  1. Jul 26, 2013 #1
    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
     
  2. jcsd
  3. Jul 26, 2013 #2
  4. Jul 26, 2013 #3
    Thanks

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

    Thanks for your help.
     
  5. Jul 26, 2013 #4
    Yes, w.r.t to theta.
     
  6. Jul 26, 2013 #5
    Thanks

    What is w.r.t?
     
  7. Jul 26, 2013 #6

    SteamKing

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    Staff Emeritus
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    w.r.t. = 'with respect to'
     
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