Evaluate Without Using a Calculator $\sec \beta$ , If $\sin \beta = - \frac { 5 } { 10 }$

Multiple Choice

Evaluate without using a calculator.
- $\sec \beta$ , if $\sin \beta = - \frac { 5 } { 10 }$ and $\tan \theta > 0$

A) $\frac { \sqrt { 10 } } { 5 }$
B) $- \frac { 10 \sqrt { 75 } } { 75 }$
C) $- \frac { \sqrt { 75 } } { 10 }$
D) $- \frac { 5 \sqrt { 75 } } { 75 }$