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 ...