Giải phương trình \({ \cos ^2}x + \sin 2x - 3{ \sin ^2}x = 0 \).
A. \(\left\{ {\left. { - \frac{\pi }{4} + k\pi ;\,\,\arctan 3 + k\pi } \right|k \in Z} \right\}\).
B. \(\left\{ {\left. {\frac{\pi }{4} + k\frac{\pi }{2}} \right|k \in Z} \right\}\).
C. \(\left\{ {\left. {\frac{\pi }{4} + k\pi ;\,\,{\mathop{\rm arccot}\nolimits} \left( { - 3} \right) + k\pi } \right|k \in Z} \right\}\).
D. \(\left\{ {\left. { - \frac{\pi }{4} + k\pi ;\,\,\arctan \left( { - \frac{1}{3}} \right) + k\pi } \right|k \in Z} \right\}\).