Question: (a) If x(t) has the Fourier and y(t) = x(t - t 0 ), show that Y n = X n e -j2Ïnf0t0 where the

(a) If x(t) has the Fourier ο0 j2πnfo 1 χ() ΣX,emfof x(t)

and y(t) = x(t - t0), show that Yn = Xne-j2Ï€nf0t0 where the Yn's are the Fourier coefficient for y(t).

(b) Verify the theorem proved in part (a) by examining the Fourier coefficients for x(t) = cos(ω0t) and y(t) = sin(ω0t).

0 j2nfo 1 () X,emfof x(t)

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