$PT$ [tex]\Leftrightarrow 2(\sin (2x+\frac{\pi}{6})+1)=m(2- \cos2x)-\sqrt{3} \sin2x\\\Leftrightarrow 2\sin 2x.\frac{\sqrt{3}}{2}+2 \cos2x .\frac{1}{2}+2=2m-m \cos2x-\sqrt{3} \sin2x\\\Leftrightarrow 2\sqrt{3}. \sin2x+(m+1) \cos2x +2-2m=0[/tex]
Điều kiện để PT có nghiệm:
$12+(m+1)^2 \geq (2-2m)^2 \Leftrightarrow \frac{5-2\sqrt{13}}{3}\leq m\leq \frac{5+2\sqrt{13}}{3}$
Chọn A