Given the information on the problem, we have the following right triangle:
therefore, the trigonometric functions cosine, cosecant and tangent are:
[tex]\begin{gathered} \cos \theta=\frac{6}{\sqrt[]{61}} \\ \csc \theta=\frac{1}{\sin\theta}=\frac{1}{-\frac{5}{\sqrt[]{61}}}=-\frac{\sqrt[]{61}}{5} \\ \tan \theta=-\frac{5}{6} \end{gathered}[/tex]
