Вычислите \(sin(\alpha+\beta),\) если \(cos\alpha=\frac{12}{13}, sin\beta=-\frac{4}{5}\) и \(0^{\circ}<\alpha<90^{\circ}, 180^{\circ}<\beta<270^{\circ}.\)
\(-\frac{1}{5}\)
\(-\frac{63}{65}\)
\(-\frac{11}{5}\)
\(-\frac{49}{65}\)