An LTI system having transfer function $$\frac{{{s^2} + 1}}{{{s^2} + 2s + 1}}$$   and input x(t) = sin(t + 1) is in steady state. The output is sampled at a rate ω_s rad/s to obtain the final output {y(k)}. Which of the following is true?

A. y is zero for all sampling frequencies ω_s

B. y is nonzero for all sampling frequencies ω_s

C. y is nonzero for ω_s > 2 but zero for ω_s < 2

D. y is zero for ω_s > 2 but nonzero for ω_s < 2

Answer: Option A