Use the Given Values to Evaluate (If Possible) Three Trigonometric $\cot \theta , \sec \theta , \cos \theta$

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions $\cot \theta , \sec \theta , \cos \theta$ .
$\tan \theta = 4 , \cos \theta < 0$

A) $\begin{aligned}\cot \theta & = \frac { 1 } { 4 } \\\sec \theta & = - \sqrt { 17 } \\\cos \theta & = \frac { \sqrt { 17 } } { 17 }\end{aligned}$
B) $\begin{array} { l } \cot \theta = 4 \\\sec \theta = \sqrt { 17 } \\\cos \theta = \frac { \sqrt { 17 } } { 17 }\end{array}$
C) $\begin{array} { l } \cot \theta = \frac { 1 } { 4 } \\\sec \theta = - \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array}$
D) $\begin{array} { l } \cot \theta = - \frac { 1 } { 4 } \\\sec \theta = - \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array}$
E) $\begin{array} { l } \cot \theta = \frac { 1 } { 4 } \\\sec \theta = \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array}$