## Question

###### In Problems, a function $f(t)$ defined on an interval $0<t<L$ is given. Find the Fourier cosine and sine series of $f$ and sketch the graphs of the two extensions of $f$ to which these two series converge.$$f(t)=sin t, 0<t<pi$$

In Problems, a function $f(t)$ defined on an interval $0<t<L$ is given. Find the Fourier cosine and sine series of $f$ and sketch the graphs of the two extensions of $f$ to which these two series converge. $$ f(t)=sin t, 0<t<pi $$

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