### Home > A2C > Chapter 12 > Lesson 12.2.1 > Problem12-89

12-89.

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?

What do you know about the relationship between $\operatorname{tan}θ$, $\operatorname{sin}θ$ and $\operatorname{cos}θ$?