Phương trình \({ \sin ^2}x \left( { \tan x + 1} \right) = 3 \sin x \left( { \cos x - \sin x} \right) + 3 \) có nghiệm là:
A.\(\left[ \matrix{x = - {\pi \over 4} + k2\pi \hfill \cr x = \pm {\pi \over 3} + k2\pi \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)
B.\(\left[ \matrix{x = - {\pi \over 4} + {{k\pi } \over 2} \hfill \cr x = \pm {\pi \over 3} + {{k\pi } \over 2} \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)
C.\(\left[ \matrix{x = - {\pi \over 4} + {{k2\pi } \over 3} \hfill \cr x = \pm {\pi \over 3} + {{k2\pi } \over 3} \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)
D.\(\left[ \matrix{x = - {\pi \over 4} + k\pi \hfill \cr x = \pm {\pi \over 3} + k\pi \hfill \cr} \right.\,\,\left( {k \in Z} \right)\)