Find the Exact Value of the Indicated Trigonometric Function of θ

Multiple Choice

Find the exact value of the indicated trigonometric function of θ.
- $\sin \theta = \frac { 1 } { 2 } , \sec \theta < 0 \quad$ Find $\cos \theta$ and $\tan \theta$

A) $\cos \theta = - \sqrt { 3 } , \tan \theta = - \frac { 10 \sqrt { 3 } } { 3 }$
B) $\cos \theta = - \frac { \sqrt { 3 } } { 2 } , \tan \theta = \frac { \sqrt { 3 } } { 3 }$
C) $\cos \theta = - \frac { \sqrt { 3 } } { 2 } , \tan \theta = - \frac { \sqrt { 3 } } { 3 }$
D) $\cos \theta = \sqrt { \frac { 3 } { 2 } } , \tan \theta = \frac { \sqrt { 3 } } { 3 }$