I have some standard Fourier series questions which I cannot solve. My fourier series is defined like this:
$$s(x)=\frac{a_0}{2} + \sum_{n=1}^{\infty} (a_n \cos (nx) + b_n \sin (nx))$$
For $f(t) = \pi - t$ , where $0<t<\pi$,
q1) find the $b_n$ coefficient of the odd expansion,
q2) find the $a_0$ and $a_n$ coefficients of the even expansion.
- my attempt; which is apparently wrong
- I got $a_n=\frac{2}{\pi}\frac{1-\cos(\pi\,n)}{n^2}\ ,\quad a_0=\pi$. Don't know whether it's wrong or not.