Let $S = \left\{ \theta \in [ - 2 \pi , 2 \pi ] : 2 \cos ^ { 2 } \theta + 3 \sin \theta = 0 \right\}$. Then the sum of the elements of $S$ is:\\ (1) $\pi$\\ (2) $\frac { 13 \pi } { 6 }$\\ (3) $\frac { 5 \pi } { 3 }$\\ (4) $2 \pi$