Giải phương trình 

Câu hỏi: Giải phương trình $si{n}^{2}x-\left(\sqrt{3}+1\right)sinx.cosx+\sqrt{3}{\cos }^{2}x=0$

A. $x=\frac{\mathrm{\pi }}{3}+k2\mathrm{\pi }\left(\mathrm{k}\in \mathrm{Z}\right)$

B. $x=\frac{\mathrm{\pi }}{4}+k\mathrm{\pi }\left(\mathrm{k}\in \mathrm{Z}\right)$

C. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{3}+k2\mathrm{\pi }\\ x=\frac{\mathrm{\pi }}{4}+k2\mathrm{\pi }\end{array}\right.\left(\mathrm{k}\in \mathrm{Z}\right)$

D. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{3}+k\mathrm{\pi }\\ x=\frac{\mathrm{\pi }}{4}+k\mathrm{\pi }\end{array}\right.\left(\mathrm{k}\in \mathrm{Z}\right)$