1. Apr 12, 2009 #1

   fiziksfun

   

   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!!

    

   fiziksfun, Apr 12, 2009
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3. Apr 12, 2009 #2

   Billy Bob

   

   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.)

    

   Billy Bob, Apr 12, 2009

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