Actually, the trigonometric series and Fourier series are the same, right? If not, please tell me how they differ. Anyway, I want to find the coefficient of this trigonometetric series(or partial sum).
f(x)=a0+N∑n=1ancos(nx)+bnsin(nx)
Answer
You need to project your function on the basis vectors using
a0=12π∫π−πf(x)dx
an=1π∫π−πf(x)cos(nx)dx,n>0
bn=1π∫π−πf(x)sin(nx)dx,n>0
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