Use the Fundamental Identities to Find the Value of the Trigonometric

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
- $\sec \beta$ , if $\sin \beta = - \frac { 5 } { 11 }$ , with $\beta$ in quadrant III

A) $- \frac { 4 \sqrt { 6 } } { 11 }$
B) $- \frac { 5 \sqrt { 6 } } { 24 }$
C) $\frac { \sqrt { 11 } } { 5 }$
D) $- \frac { 11 \sqrt { 6 } } { 24 }$