consider the following continuous time signal whose fundamental period is t=1/2.
x(t) = cos(4*pi*t)
y(t) = sin(4*pi*t)
z(t) = x(t)y(t)
a) find the fourier series coefficients of x(t)
b) find the fourier series coefficients of y(t)
c) find the fourier series coefficients of z(t) (use the results of a) and b) along with the multiplication property of continuous time fourier series coefficients)
d) find the fourier series coefficients of z(t) through direct expansion of z(t) in trigonometric form. compare results to part c.