Use the Given Values to Evaluate (If Possible) Two Trigonometric $\tan \varphi$

Multiple Choice

Use the given values to evaluate (if possible) two trigonometric functions $\tan \varphi$ and $\csc \psi$ .
$\cot \varphi = - 5 , \sin \psi = \frac { \sqrt { 10 } } { 10 }$

A) $\begin{array} { l } \tan \varphi = - \frac { 1 } { 5 } \\\csc \psi = \sqrt { 10 }\end{array}$
B) $\begin{array} { l } \tan \varphi = \frac { 1 } { 5 } \\\csc \psi = \sqrt { 10 }\end{array}$
C) $\begin{array} { l } \tan \varphi = \frac { 1 } { 5 } \\\csc \psi = - \sqrt { 10 }\end{array}$
D) $\begin{array} { l } \tan \varphi = - 5 \\\csc \psi = \sqrt { 10 }\end{array}$
E) $\begin{array} { l } \tan \varphi = - \frac { 1 } { 5 } \\\csc \psi = - \sqrt { 10 }\end{array}$