Berechnen Sie:
\(\sin(\alpha+\beta), \text{ wobei } \sin\alpha=\frac{3}{4},\, \cos\beta=-\frac{1}{5}, \,\,\frac{\pi}{2}<\alpha<\pi,\, \pi<\beta<\frac{3\pi}{2}\)
\(\dfrac{-4+6\sqrt{46}}{25}\)
\(\dfrac{-2-2\sqrt{38}}{15}\)
\(\dfrac{-3+2\sqrt{42}}{20}\)
\(\dfrac{-1-6\sqrt{34}}{10}\)
