(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f(x) = sin(x) for 0[tex]\leq[/tex]x<[tex]\pi[/tex]. Extend f(x) as an even function . Obtain a cosine Fourier series for f.

2. Relevant equations

[tex]a_{0}[/tex]/2 + [tex]\sum[/tex] [tex]a_{n}[/tex]cos(nx)

3. The attempt at a solution

So as far as I know, to extend sin(x) as an even function you have to make f(x)=-sin(x) for [tex]-\pi\leq[/tex]x<0 and then just use that to integrate for a_{n}but this gives a series without an a_{0}term which the question points to it having. What have I done wrong?

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# Homework Help: Fourier Series

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