Consider the following three continuous-time signals with afundamental period of T = 1/2
x(t) = cos(4πt)
y(t) = sin(4πt)
z(t) = x(t)y(t)
(a) Determine the Fourier series coefficients of x(t)
(b) Determine the Fourier series coefficients of y(t)
(c) Determine the Fourier series coefficients of z(t) throughdirect expansion of z(t) in trigonometric form.