# math285, week of october 27

1. Find Fourier transform of the function on $$(-\pi,\pi)$$ equal to $$0$$ for $$-\pi<x<0$$ and to $$1$$ for $$0\leq x<\pi$$.
2. Find cosine expansion of $$\sin(2x)$$ on $$[0,\pi]$$.
3. Find sine expansion of $$\sin(2x)$$ on $$[0,\pi]$$.