# Fourier series representation for F(t) = 0 or sin(wt) [depending on range]

by Esran
Tags: fourier series, sine
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 P: 71 1. The problem statement, all variables and given/known data Obtain the Fourier series representing the function $$F(t)=0$$ if [tex]-2\pi/w
 Emeritus Sci Advisor HW Helper Thanks PF Gold P: 11,768 The ω that appears in F(t) isn't the same as the frequency that appears in the sine and cosines. As you said, the period of the function is T=4π/ω, so the fundamental frequency of the Fourier expansion is ω0=2π/T=ω/2. Also, note that the integration results you wrote down are only valid when n2-1≠0. You need to treat cases like that separately.
 P: 71 Oh yeah. The fundamental frequency. Thanks!

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