Fourier Series For Even And Odd Functions
 
   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         ...