Consider the matrix $f(x)=\begin{bmatrix} \cos x & -\sin x & 0\\ \sin x & \cos x & 0\\ 0 & 0 & 1 \end{bmatrix}$. Given below are two statements: Statement I : $f(-x)$ is the inverse of the matrix $f(x)$. Statement II : $f(x)f(y)=f(x+y)$. In the light of the above statements, choose the correct answer: