Giải thích các bước giải:
\(\begin{array}{l}
\left( {\sin x = \sin y \Leftrightarrow \left[ \begin{array}{l}
x = y + k2\pi \\
x = \pi - y + k2\pi
\end{array} \right.} \right)\\
\sin x \ne \dfrac{1}{2} \Leftrightarrow \sin x \ne \sin \dfrac{\pi }{6}\\
\Leftrightarrow \left\{ \begin{array}{l}
x \ne \dfrac{\pi }{6} + k2\pi \\
x \ne \left( {\pi - \dfrac{\pi }{6}} \right) + k2\pi
\end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
x \ne \dfrac{\pi }{6} + k2\pi \\
x \ne \dfrac{{5\pi }}{6} + k2\pi
\end{array} \right.\,\,\,\,\left( {k \in Z} \right)
\end{array}\)
