Use the Function Value and Constraint Below to Evaluate the Given

Multiple Choice

Use the function value and constraint below to evaluate the given trigonometric function.
$\begin{array} { c c c } \text { Function Value } & \text { Constraint } & \text { Evaluate: } \\ \sec \theta = - 5 & \tan \theta < 0 & \cot \theta \end{array}$

A) $- 2 \sqrt { 6 }$
B) $2 \sqrt { 6 }$
C) $- \frac { 1 } { 2 \sqrt { 6 } }$
D) $- \frac { 1 } { 5 }$
E) Undefined