Fourier Series of simple function.

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SUMMARY

The discussion centers on deriving the Fourier series for the piecewise function defined as f(x) = cos(x) for x in [-π, 0] and f(x) = -cos(x) for x in (0, π]. The user initially sought assistance in applying Fourier series theory but later resolved the issue independently. The focus then shifted to analyzing the behavior of even and odd harmonics within the context of this function.

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f(x) = cos(x) x from [-PI, 0]
f(x) = -cos(x) x from ] 0, PI]

I'm not sure how to deal with getting a Fourier series for this function. (don't bother explaining theory, I know that, just can't apply it in this case) Could anyone help me out?
 
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okay, I think I got it!

Ah well, what a stupid question that was. I figured it out.. now I just need to see what happens for even and odd harmonics and that'll be that. Thanks.
 

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