Phương trình $\displaystyle \cos x+\sin x=\frac{\cos 2x}{1-\sin 2x}$ có nghiệm là
A. $\displaystyle \left[ \begin{array}{l}x=-\frac{\pi }{4}+k2\pi \\x=\frac{\pi }{8}+k\pi \\x=k\frac{\pi }{2}\end{array} \right.$
B. $\displaystyle \left[ \begin{array}{l}x=\frac{\pi }{4}+k2\pi \\x=\frac{\pi }{2}+k\pi \\x=k\pi \end{array} \right.$
C. $\displaystyle \left[ \begin{array}{l}x=\frac{3\pi }{4}+k\pi \\x=-\frac{\pi }{2}+k2\pi \\x=k2\pi \end{array} \right.$
D. $\displaystyle \left[ \begin{array}{l}x=\frac{5\pi }{4}+k\pi \\x=\frac{3\pi }{8}+k\pi \\x=k\frac{\pi }{4}\end{array} \right.$