The Laplace transform of function f(t) is L(t)$=\frac{1}{\left(s^2+{\omega }^2\right)}$. Then, f(t) is

Options :

1. $f\left(t\right)=\frac{1}{{\omega }^2}\left(1-\cos \omega t\right)$

2. $f\left(t\right)=\frac{1}{\omega }\cos \omega t$

3. $f\left(t\right)=\frac{1}{\omega }\sin \omega t$

4. $f\left(t\right)=\frac{1}{{\omega }^2}\left(1-\sin \omega t\right)$