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tomeatworld
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Homework Statement
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.
Homework Equations
[tex]a_{0}[/tex]/2 + [tex]\sum[/tex] [tex]a_{n}[/tex]cos(nx)
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 an but this gives a series without an a0 term which the question points to it having. What have I done wrong?