If both \( \alpha \) and \( \beta \) lie in
\( \left(-\dfrac{\pi}{4},\,0\right] \),
\( \sin(\alpha+\beta) = -\dfrac{33}{65} \), and
\( \sin\alpha = -\dfrac{3}{5} \),
then \( \tan(2\alpha+\beta) \) is
Show Hint
When given \( \sin \theta \), always visualize the right-angled triangle (3-4-5 or 33-56-65) to find \( \cos \theta \) and \( \tan \theta \) quickly. Pay close attention to the quadrant to assign the correct signs.