## Homework Statement

Find the fourier series of f(x)=(sin x)^2.

## The Attempt at a Solution

I know that I need to use the double angle formulas for this problem:
(sin x)^2=1/2-1/2(cos 2x)
but I do not know where to go from here.

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quasar987
Homework Helper
Gold Member
All you have to do is calculate the coefficients of the Fourier series... which boils down to computing an integral. See your notes.

I was told that no integration was needed for this problem and it basically boils down to trig identities.

Do you know what the Fourier Series is for cos(x)? I'd imagine you could just do you substitution and then use Fourier tables and the like to make that entire thing a Fourier series.

Dick