$$\begin{equation} \sin(x)= x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \dotsm \end{equation}$$ $$\begin{equation} = \sum_{n=0}^{\infty}{ \frac{(-1)^n}{(2n + 1)!}x^{(2n+1)} } \end{equation}$$ $$ \begin{array}{c|c} 1 & 2 \\ \hline 3 & 4 \end{array} $$ $$ M = \begin{bmatrix} \frac{5}{6} & \frac{1}{6} & 0 \\[0.3em] \frac{5}{6} & 0 & \frac{1}{6} \\[0.3em] 0 & \frac{5}{6} & \frac{1}{6} \end{bmatrix} $$