Show that the frequency response of an RLC circuit driven by a sinusoidal applied voltage \(v(t)=V_{0} \sin \omega t\) is described by

\[i_{s s}(t)=\frac{\omega C V_{0}}{\sqrt{\left(1-L C \omega^{2}\right)^{2}+(R C \omega)^{2}}} \cos \left(\omega t-\tan ^{-1} \frac{R C \omega}{1-L C \omega^{2}}\right)\]