The transfer function of a system is $\frac{Y(s)}{R(s)}=\frac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of A and $\phi$ respectively are

- $\frac{1}{\sqrt{2}}$, -45°
- $\frac{1}{\sqrt{2}}$, +45°
- $\sqrt{2}$, -45°
- $\sqrt{2}$, +45°