Giải phương trình 

Câu hỏi: Giải phương trình $\sin x.\cos x+2(\sin x+\cos x)=2.$

A. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{2}+k\mathrm{\pi }\\ x=k\mathrm{\pi }\end{array}\right.\left(k\in Z\right)$

B. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{2}+k2\mathrm{\pi }\\ x=k2\mathrm{\pi }\end{array}\right.\left(k\in Z\right)$

C. $\left[\begin{array}{c}x=-\frac{\mathrm{\pi }}{2}+k\mathrm{\pi }\\ x=k2\mathrm{\pi }\end{array}\right.\left(k\in Z\right)$

D. $\left[\begin{array}{c}x=-\frac{\mathrm{\pi }}{2}+k2\mathrm{\pi }\\ x=k\mathrm{\pi }\end{array}\right.\left(k\in Z\right)$