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In the system shown below, $x(t)=(\sin t) u(t)$. In steady-steady-state, the response $y(t)$ will be

1. $\frac{1}{\sqrt{2}} \sin \left(t-\frac{\pi}{4}\right)$
2. $\frac{1}{\sqrt{2}} \sin \left(t+\frac{\pi}{4}\right)$
3. $\frac{1}{\sqrt{2}} e^{-1} \sin t$
4. $\sin t-\cos t$