data/json/2022/math_7.txt

7. \(\pi < \theta < \frac{3}{2}\pi\)인 \(\theta\)에 대하여 \(\tan \theta - \frac{6}{\tan \theta} = 1\)일 때, \( \sin \theta + \cos \theta \)의 값은? [3점]

\begin{itemize}
    \item[1] \(-\frac{2\sqrt{10}}{5}\)
    \item[2] \(-\frac{\sqrt{10}}{5}\)
    \item[3] \(0\)
    \item[4] \(\frac{\sqrt{10}}{5}\)
    \item[5] \(\frac{2\sqrt{10}}{5}\)
\end{itemize}