Answer :
Given
The point,
[tex](-8,-\sqrt{17})[/tex]To find the value of csc theta.
Explanation:
It is given that,
[tex]The\text{ point is }(-8,-\sqrt{17})[/tex]Then,
[tex]\begin{gathered} \alpha=\tan^{-1}|\frac{-\sqrt{17}}{-8}| \\ =\tan^{-1}|\frac{\sqrt{17}}{8}| \\ =0.47588 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} \theta=-\tan\alpha \\ =-0.47588 \end{gathered}[/tex]Hence,
[tex]\begin{gathered} csc\theta=csc(-0.47588) \\ =-csc(0.47588) \\ =2.1828 \end{gathered}[/tex]