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 \(-90^{\circ}\)