A system with transfer function (G(s)=frac{s}{(1+s)}) is subjected to a sinusoidal input (r(t)=sin omega t) in steady

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A system with transfer function \(G(s)=\frac{s}{(1+s)}\) is subjected to a sinusoidal input \(r(t)=\sin \omega t\) in steady state, the phase angle of the output relative to the input at \(\omega=0\) and \(\omega=\infty\) will be respectively
(a) \(0^{\circ}\) and \(-90^{\circ}\)
(b) \(0^{\circ}\) and \(0^{\circ}\)
(c) \(90^{\circ}\) and \(0^{\circ}\)
(d) \(90^{\circ}\) and \(-90^{\circ}\)

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