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

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) ​ $\begin{array} { l } \tan \varphi = - \frac { 1 } { 5 } \\\csc \psi = - \sqrt { 10 }\end{array}$ ​