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Fourier Series

  1. Apr 12, 2009 #1
    My professor said the Fourier series of sinx*cosx is simply 0.5sin2x.

    Is this right?? Is there no summation??

    I dont understand why .. Help!!
     
  2. jcsd
  3. Apr 12, 2009 #2
    She's right, by uniqueness of Fourier series.

    Trig identity for sin2x shows that sin x*cos x=0.5sin2x.

    This is the form of a Fourier series, hence the unique. (All the other infinitely many terms are 0.)
     
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