Fourier Series

  • Thread starter fiziksfun
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  • #1
fiziksfun
78
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My professor said the Fourier series of sinx*cosx is simply 0.5sin2x.

Is this right?? Is there no summation??

I don't understand why .. Help!
 

Answers and Replies

  • #2
Billy Bob
392
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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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