The input to a linear time invariant (LTI) system is expressed as x(t) = 2 + cos(0.6nt) + sin(1.2nt)+ cos (1.8nt) The LTI system is known to be an ideal high-pass filter with zero phase shift for all frequencies and with a cut-off frequency of 0.5 Hz. Find the Fourier Series coefficients of the output for the exponential form of the Fourier Series. (The shortest solution is the best, with a few sentences of justification)