Giải phương trình: \({ \cos ^4} \frac{x}{2} - { \sin ^4} \frac{x}{2} = \sin 2x \, \, \, \, \, \, \)
A.\(\left[ \begin{array}{l}x = \frac{\pi }{6} + k2\pi \\x = \frac{{5\pi }}{6} + m2\pi \\x = \frac{\pi }{2} + l\pi \end{array} \right.\,\,\,\,\,\,\,\left( {k,\;m,\;l \in \mathbb{Z}} \right)\)
B.\(\left[ \begin{array}{l}x = \frac{\pi }{6} + k2\pi \\x = \frac{{5\pi }}{6} + m2\pi \\x = \frac{\pi }{2} + l2\pi \end{array} \right.\,\,\,\,\,\,\,\left( {k,\;m,\;l \in \mathbb{Z}} \right)\)
C.\(\left[ \begin{array}{l}x = \frac{\pi }{6} + k\pi \\x = \frac{{5\pi }}{6} + m\pi \\x = \frac{\pi }{2} + l2\pi \end{array} \right.\,\,\,\,\,\,\,\left( {k,\;m,\;l \in \mathbb{Z}} \right)\)
D.\(\left[ \begin{array}{l}x = \frac{\pi }{6} + k\pi \\x = \frac{{5\pi }}{6} + m\pi \\x = \frac{\pi }{2} + l\pi \end{array} \right.\,\,\,\,\,\,\left( {k,\;m,\;l \in \mathbb{Z}} \right)\)