Giải phương trình \({\cos ^2}x + \sin 2x - 3{\sin ^2}x = - 2\).
A.\(\left[ \matrix{x = {\pi \over 4} + k\pi \hfill \cr x = \arctan 3 + k\pi \hfill \cr} \right.\,\,\left( {k \inZ } \right)\)
B.\(\left[ \matrix{ x = - {\pi \over 4} + k\pi \hfill \cr x = \arctan 3 + k\pi \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)
C.\(\left[ \matrix{x = - {\pi \over 4} + k2\pi \hfill \cr x = \arctan 3 + k\pi \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)
D.\(\left[ \matrix{x = {\pi \over 4} + k2\pi \hfill \cr x = \arctan 3 + k\pi \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)