Question 3
Let $\tan\alpha$ and $\tan\beta$ be two solutions of the equation $x^2-3x-3=0$. Find the value of
$$\left|\sin^2(\alpha+\beta)-3\sin(\alpha+\beta)\cos(\alpha+\beta)-3\cos^2(\alpha+\beta)\right|.$$
(Note: $|x|$ denotes the absolute value of $x$.)
$$\left|\sin^2(\alpha+\beta)-3\sin(\alpha+\beta)\cos(\alpha+\beta)-3\cos^2(\alpha+\beta)\right|.$$
(Note: $|x|$ denotes the absolute value of $x$.)