Giải phương trình \( \cos \frac{{4x}}{3} = { \cos ^2}x \).
A.\(\left[ \begin{array}{l}x = k3\pi \\x = \pm \frac{\pi }{4} + m3\pi \\x = \pm \frac{{5\pi }}{4} + l3\pi \end{array} \right.\;\;\left( {k,\;m,\;l \in Z} \right)\)
B.\(\left[ \begin{array}{l}x = k\pi \\x = \pm \frac{\pi }{4} + m\pi \\x = \pm \frac{{5\pi }}{4} + l\pi \end{array} \right.\;\;\left( {k,\;m,\;l \in Z} \right)\)
C.\(\left[ \begin{array}{l}x = k3\pi \\x = \frac{\pi }{4} + m3\pi \\x = - \frac{\pi }{4} + l3\pi \end{array} \right.\;\;\left( {k,\;m,\;l \in Z} \right)\)
D.\(\left[ \begin{array}{l}x = k3\pi \\x = \frac{{5\pi }}{4} + m3\pi \\x = - \frac{{5\pi }}{4} + l3\pi \end{array} \right.\;\left( {k,\;m,\;l \in Z} \right)\)