[tex]\begin{gathered} \sin\theta=\sqrt{1-\cos\theta}=\sqrt{1-(-\frac{8}{17})^2}=\sqrt{\frac{225}{289}}=\frac{15}{17} \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{15}{17}\cdot(-\frac{17}{8})=-\frac{15}{8} \\ csc\text{ }\theta=\frac{1}{\sin\theta}=\frac{17}{15} \end{gathered}[/tex]
