(adsbygoogle = window.adsbygoogle || []).push({}); The Fourier Series!!

Hi guys, i'm having a bit a trouble helping my daughter with this question on the fourier series approximation:

The fourier series for a real, odd function, f(t) can be written as:

f(t) = [SUM to infinity, n=1, of]: b[subscipt n] sin(nwt)

where f(t=T)=f(t) and w=(2[pie])/T

Prove that b[subscipt n] = 2/T [integral between T/2 & -T/2 of]: f(t)sin(nwt)dt

Sorry about not knowing how to do all the symbols etc, but if you write it out i'm pretty sure it makes sence.

Anyway, if anyone could give me a hand with how to go about proving this, it would be greatly appreciated.

Many thanks, Robert.

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# The Fourier Series

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