Consider a thermal process with the following transfer function relating for the process output versus controller output signal:

$\frac{C^{\text{'}}(s)}{M^{\text{'}}(s)}=\frac{0\mathrm{.}65e^{-0\mathrm{.}35}}{(5\mathrm{.}1s+1)(1\mathrm{.}2s+1)}$

A sine wave of unity amplitude and frequency of $0\mathrm{.}80ra\frac{d}{m}in$ is applied to the process $($time constants and dead times are in minutes$).$ Calculate the amplitude and phase lag of the sine wave out of the process $($after transient response dies out$).$