If Michele knows that $\operatorname { sin } ( \frac { 7 \pi } { 6 } ) = - \frac { 1 } { 2 }$ and $\operatorname { cos } ( \frac { 7 \pi } { 6 } ) = - \frac { \sqrt { 3 } } { 2 }$, how can she use this information to find the exact value for $\operatorname { tan } ( \frac { 7 \pi } { 6 } )$? What is it?