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Give transfer function $$H\left( s \right) = \frac{{s + 2}}{{{s^2} + s + 4}},$$    under steady state condition, the sinusoidal input and output are, respectively x(t) = cos 2t, y(t) = cos(2t + $$\phi $$), then angle $$\phi $$ will be

Give transfer function $$H\left( s \right) = \frac{{s + 2}}{{{s^2} + s + 4}},$$    under steady state condition, the sinusoidal input and output are, respectively x(t) = cos 2t, y(t) = cos(2t + $$\phi $$), then angle $$\phi $$ will be Correct Answer -45°

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