If $\csc x = \frac { 4 \sqrt { 3 } } { 3 }$

If $\csc x = \frac { 4 \sqrt { 3 } } { 3 }$ and $\cos x < 0$ , evaluate the function below. $\sec x$

A) $\sec x = \frac { 4 } { \sqrt { 3 } }$
B) $\sec x = - \frac { \sqrt { 3 } } { 4 }$
C) $\sec x = - \frac { 4 \sqrt { 13 } } { 13 }$
D) $\sec x = - \frac { \sqrt { 39 } } { 3 }$
E) $\sec x = \frac { \sqrt { 39 } } { 3 }$

Correct Answer:

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