The transfer function of a system is $\dfrac{Y(s)}{R(s)}=\dfrac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of $A$ and $\phi$ respectively are
- $\dfrac{1}{\sqrt{2}}, -45^\circ$
- $\dfrac{1}{\sqrt{2}}, +45^\circ$
- $\sqrt{2}, -45^\circ$
- $\sqrt{2}, +45^\circ$