For the system of Figure, the transfer function is known to be of the formWith the notatio...

For the system of Figure, the transfer function is known to be of the form

With the notation x(t) → y (t), the following steady-state response is measured:

2 cos 4t → 5 cos (4t – 45°).

(a) Find the transfer-function parameters K and a.

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(b) Verify the results in Part (a) using MATLAB.

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(c) Repeat Parts (a) and (b) with the input-output result

2 cos 3t → 2.222 cos (3t – 56.31°).