Find the Value of the Unique Real Number Between 0 $\cos \theta = - \frac { 1 } { 2 }$

Multiple Choice

Find the value of the unique real number between 0 and 2 that satisfies the given conditions.
- $\cos \theta = - \frac { 1 } { 2 }$ and $\sin \theta < 0$

A) $\frac { 5 \pi } { 6 }$
B) $\frac { 4 \pi } { 3 }$
C) $\frac { 7 \pi } { 6 }$
D) $\frac { 2 \pi } { 3 }$