The amplitude ratio and phase shift function for a transmittance are

\[
A(\omega)=4 \quad \phi(\omega)=-3 \omega(\mathrm{rad})
\]

The forced sinusoidal response to the input signal \(r(t)=10 \cos \left(5 t-30^{\circ}ight)\) is
(a) \(40 \cos \left(5 t-170^{\circ}ight)\)
(b) \(30 \cos \left(5 t-170^{\circ}ight)\)
(c) \(40 \cos \left(5 t-45^{\circ}ight)\)
(d) \(30 \cos \left(5 t-45^{\circ}ight)\).