We will have the following:
We first determine the missing side of the triangle:
[tex]x=\sqrt{17^2-8{}^2}\Rightarrow x=15[/tex]Now, we determine the expressions:
[tex]\begin{gathered} sec(\theta)=\frac{17}{8} \\ \\ \\ cos(\theta)=\frac{8}{17} \\ \\ \\ cot(\theta)=\frac{8}{15} \end{gathered}[/tex]