Question 13
Let $\tan\alpha$ and $\tan\beta$ be the two solutions of $x^2-3x-3=0$. Find
$$\left|\sin^2(\alpha+\beta)-3\sin(\alpha+\beta)\cos(\alpha+\beta)-3\cos^2(\alpha+\beta)\right|.$$
Here $|x|$ denotes absolute value.
$$\left|\sin^2(\alpha+\beta)-3\sin(\alpha+\beta)\cos(\alpha+\beta)-3\cos^2(\alpha+\beta)\right|.$$
Here $|x|$ denotes absolute value.