The 15 basis function consisting of
oi(t) = cos(0.5*pi*i*t) for i = 0,2,4,6
sin(0.5*pi*i*t) for i = 1,3,5,7
Find the generalized fourier series coefficients corresponding to these basis signals for the signal x(t) = 0.5(t-1)^2 in the interval 0 <= t <= 4. Plot the signal and the generalizedfourier series approximation for -8< t < 8