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Fourier Series For Even And Odd Functions

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Fourier Series For Even And Odd Functions : Even Function :             If f is an even function, i.e ,  f(-x) =f(x) , ∀ x , then f cos nx is an even and f sin nx is an odd function and therefore                        π        aₙ = 1/π ∫ f cos nx dx                       -π                         0                        π             = 1/π [∫ f cos nx dx + ∫ f cos nx dx]                       -π                        0                       π       ...