Step-by-step explanation:
Let first find the x and y xomponets.
X componets is 8 and the y componets is -7 so
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ 64 + 49} [/tex]
[tex]r = \sqrt{113} [/tex]
[tex] \csc(x) = \frac{r}{y} [/tex]
So
[tex] \csc(x) = - \frac{ \sqrt{113} }{ 7} [/tex]