If `F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[ 0, 0, 1]]`, show that `F(x) F(y) = F(x + y)`.

Explanation

To show that \( F(x) F(y) = F(x + y) \), we will perform the matrix multiplication of \( F(x) \) and \( F(y) \) and then compare it with \( F(x + y) \).

### Step 1: Write down the matrices \( F(x) \) and \( F(y) \)

Given:
\[
F(x) = \begin{bmatrix}
\cos x & -\sin x & 0 \\
...