(10 pts) The steady-state.response of a stable a sinusoidal input function will, itself, bea sinusoid of the same frequency as the input function, with the only difference being the

ratio of input to output amplitude, and a phase shift between the input and output sinusoids. Using the transfer function for the system (T(s) relating the input, u, to the output, y), how can you mathematically determine the amplitude ratio and the phase shift for a given input sinusoidal frequency, w?

Fig: 1