$1-$ A robot arm has a joint$-$control open loop transfer function

$P(s)=\frac{1}{2-s}$

For this system:

a$)$ Use the Inverse Laplace Transform and find response of the system for input $r(t)=$Asin$(t).$ What is the amplitude of the steady state response?

b$)$ Use the jw method and find amplitude of the steady state response for the $r(t).$ Does your answer match with result from part$($a$)?$ why? What is your conclusion from this exercise?