Consider the following continuous-time signals:

r(t) = cos(4πt)

y(t) = sin(Ant)

(i) Determine the Fourier series coefficients at of r(t) and the Fourier series coefficients be of y(t).

(ii) Consider the function z(t) = x(t)y(t). Using the multiplication property of the continuous-time Fourier

Series, determine the Fourier series coefficients c of z(t).

(iii) Obtain the Fourier coefficients in (ii) an alternate way: expand z(t) using a trigonometric identity and

then compute c from z(t) directly. Show that your answer matches that found in part (ii).