Fourier sine and cosine series

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How to define the Fourier sine and cosine series for odd and even functions.

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Sir please explain one question
*Express cosx as fourier sin series in interval (0, 2π)*

shriganeshayenamah
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An odd function is zero at the origin, so the constant term a0=0.

ProfJeffreyChasnov
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My god I've been stressing over nothing :)
Its even easier than normal fourier series.

Draaamz
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why is there no " 1/2a zero " in the fourier sine series? when do i need to write that down?

ViaTing
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what if i want to take the fourier cos series from -2 to 2

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