An input voltage $v(t)=10 \sqrt{2} \cos \left(t+10^{\circ}\right)+10 \sqrt{3}$ $\cos \left(2 t+10^{\circ}\right) \mathrm{V}$ is applied to a series combination of resistance $R=1 \Omega$ and an inductance $L=1H$. The resulting steady-state current $i(t)$ in ampere is
- $10 \cos \left(t+55^{\circ}\right)+10 \cos \left(2 t+10^{\circ}+\tan ^{-1} 2\right)$
- $10 \cos \left(t+55^{\circ}\right)+10 \sqrt{\frac{3}{2}} \cos \left(2 t+55^{\circ}\right)$
- $10 \cos \left(t-35^{\circ}\right)+10 \cos \left(2 t+10^{\circ}-\tan ^{-1} 2\right)$
- $10 \cos (t-35)+10 \sqrt{\frac{3}{2}} \cos \left(2 t-35^{\circ}\right)$