Giải phương trình

Câu hỏi: Giải phương trình $4\left({\sin }^{4}x+{\cos }^{4}x\right)+\sqrt{3}sin4x=2$

A. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{4}+\frac{k7\mathrm{\pi }}{2}\\ x=-\frac{\mathrm{\pi }}{12}+\frac{k7\mathrm{\pi }}{2}\end{array}\right.\left(k\in Z\right)$

B. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{4}+\frac{k\mathrm{\pi }}{2}\\ x=-\frac{\mathrm{\pi }}{12}+\frac{k\mathrm{\pi }}{2}\end{array}\right.\left(k\in Z\right)$

C. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{4}+\frac{k5\mathrm{\pi }}{2}\\ x=-\frac{\mathrm{\pi }}{12}+\frac{k5\mathrm{\pi }}{2}\end{array}\right.\left(k\in Z\right)$

D. $\left[\begin{array}{c}x=\frac{\mathrm{\pi }}{4}+\frac{k3\mathrm{\pi }}{2}\\ x=-\frac{\mathrm{\pi }}{12}+\frac{k3\mathrm{\pi }}{2}\end{array}\right.\left(k\in Z\right)$