Phương trình $\displaystyle {{9}^{{{{{\sin }}^{2}}x}}}+{{9}^{{{{{\cos }}^{2}}x}}}=6$ có họ nghiệm là
A. $\displaystyle x=\frac{\pi }{3}+\frac{{k\pi }}{2},\text{ }\left( {k\in \mathbb{Z}} \right).$
B. $\displaystyle x=\frac{\pi }{2}+\frac{{k\pi }}{2},\text{ }\left( {k\in \mathbb{Z}} \right).$
C. $\displaystyle x=\frac{\pi }{4}+\frac{{k\pi }}{2},\text{ }\left( {k\in \mathbb{Z}} \right).$
D. $\displaystyle x=\frac{\pi }{6}+\frac{{k\pi }}{2},\text{ }\left( {k\in \mathbb{Z}} \right).$