Match List-I with List-II and select the correct answer using the options given below:

List-I [Function in time domain f(t)]	List-II [Property]
a. $$\sin {\omega _0}tu\left( {t - {t_0}} \right)$$	1. $$\frac{{{\omega _0}}}{{{s^2} + \omega _0^2}}$$
b. $$\sin {\omega _0}\left( {t - {t_0}} \right)u\left( {t - {t_0}} \right)$$	2. $$\left\{ {\frac{{{\omega _0}}}{{{s^2} + \omega _0^2}}} \right\}{e^{ - {t_0}s}}$$
c. $$\sin {\omega _0}\left( {t - {t_0}} \right)u\left( t \right)$$	3. $$\frac{{{e^{ - {t_0}s}}}}{{\sqrt {{s^2} + \omega _0^2} }}\sin \left( {{\omega _0}{t_0} + {{\tan }^{ - 1}}\frac{{{\omega _0}}}{s}} \right)$$
d. $$\sin {\omega _0}tu\left( t \right)$$	4. $$ - \frac{1}{{\sqrt {{s^2} + \omega _0^2} }}\sin \left( {{\omega _0}{t_0} - {{\tan }^{ - 1}}\frac{{{\omega _0}}}{s}} \right)$$