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

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) ​ $\begin{array} { l } \cot \theta = \frac { 1 } { 4 } \\\sec \theta = \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array}$ ​