Укажите верное значение \(\tg\alpha,\) если \(\ctg\alpha=-\frac{3}{11}\) и \(\alpha\in\) IV четверти.
\(\frac{3}{11}\)
\(-\frac{11}{3}\)
\(\frac{\sqrt{112}}{11}\)
\(-\frac{\sqrt{112}}{11}\)
\(\frac{11}{3}\)