Prove that the sine Fourier components (left(b_{n} ight)) are zero for even functions-that is, when (x(-t)=x(t)). Also

Prove that the sine Fourier components \(\left(b_{n}\right)\) are zero for even functions-that is, when \(x(-t)=x(t)\). Also prove that the cosine Fourier components \(\left(a_{0}\right.\) and \(\left.a_{n}\right)\) are zero for odd functions-that is, when \(x(-t)=-x(t)\).