[Calculus] When $\tan \theta = - \sqrt { 2 }$, what is the value of $\sin \theta \tan 2 \theta$? (where $\frac { \pi } { 2 } < \theta < \pi$ ) [3 points]\\
(1) $\frac { 2 \sqrt { 3 } } { 3 }$\\
(2) $\sqrt { 3 }$\\
(3) $\frac { 4 \sqrt { 3 } } { 3 }$\\
(4) $\frac { 5 \sqrt { 3 } } { 3 }$\\
(5) $2 \sqrt { 3 }$