Giải phương trình 2sin2x-2cos2x=căn2

A. $\left[\begin{array}{l}x=\frac{\pi }{6}+k\pi \\ x=\frac{5\pi }{6}+k\pi \end{array}\right.(k\in {\rm Z}).$

B. $\left[\begin{array}{l}x=\frac{5\pi }{12}+k2\pi \\ x=\frac{13\pi }{12}+k2\pi \end{array}\right.(k\in {\rm Z}).$

C. $\left[\begin{array}{l}x=\frac{5\pi }{24}+k\pi \\ x=\frac{13\pi }{24}+k\pi \end{array}\right.(k\in {\rm Z}).$

D. $\left[\begin{array}{l}x=\frac{2\pi }{3}+k\pi \\ x=\frac{\pi }{3}+k\pi \end{array}\right.(k\in {\rm Z}).$