The close-loop transfer function of a control system is

The close-loop transfer function of a control system is given by
C(s) = 1
R(s) 1 + s

For the input r(t) = sin t, the steady state value of c(t) is equal to

	C(s)	=	1
	R(s)		1 + s

⇒	C(jω)	=	1
	R(jω)		1 + jω

∴ Steady state value at c(t) =	1	sin		t -	π
	√2				4

	1	cos t
	√2