SOLUTION
Consider the drawing below
Using pythagorean theorem, it follows
[tex]\begin{gathered} x^2=5^2+3^2 \\ x=\sqrt{34} \end{gathered}[/tex]
Hence using trigonometrical ratio it follows:
[tex]\cos\theta=-\frac{3}{\sqrt{34}}[/tex]
This is simplified to give:
[tex]\cos\theta=-\frac{3\sqrt{34}}{34}[/tex]
Also
[tex]\sec\theta=-\frac{\sqrt{34}}{3}[/tex]
Finally it follows:
[tex]\cot\theta=\frac{3}{5}[/tex]
