\(2{\sin ^2}x - 3\sin x + 1 = 0\)
Giải chi tiết:
\(\begin{array}{l}\,\,2{\sin ^2}x - 3\sin x + 1 = 0\\ \Leftrightarrow \left[ \begin{array}{l}\sin x = 1\\\sin x = \dfrac{1}{2}\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}x = \dfrac{\pi }{2} + k\pi \\x = \dfrac{\pi }{6} + k2\pi \\x = \dfrac{{5\pi }}{6} + k2\pi \end{array} \right.\,\,\left( {k \in Z} \right)\end{array}\)