数学试题讲解

已知

α, β \in (0, \frac{π}{2}), 2 \tan α = \frac{\sin 2 β}{\sin β + \sin^{2} β}

, 则

\tan (2 α + β + \frac{π}{3}) =

- \sqrt{3}

- \frac{\sqrt{3}}{3}

\frac{\sqrt{3}}{3}

\sqrt{3}