Determine the Exact Value Of $\csc \theta$ When $\cos \theta = \frac { 5 } { 13 }$

Multiple Choice

Determine the exact value of $\csc \theta$ when $\cos \theta = \frac { 5 } { 13 }$ and $\cot \theta < 0$ .

A) $\csc \theta = - \frac { 1 } { 12 }$
B) $\csc \theta = - \frac { 13 } { 12 }$
C) $\csc \theta = - \frac { 12 } { 13 }$
D) $\csc \theta = - \frac { 13 } { 6 }$
E) $\csc \theta = - \frac { 14 } { 11 }$