The system function H(s) = 1s + 1For an input signal cos

The system function H(s) = 1
s + 1

For an input signal cos t, the steady state response is

Response, C (s) = H (s). R (s)

=	1	.	s
	s + 1		s² + 1

C(t) = -	1	e^-t +	1	cos		t -	π
	2		√2				4

At steady state e^{– t} → 0

∴ C(t) =	1	.cos		t -	π
	√2				4