In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
sec θ = -4 / 3
cot θ > 0
Step 02:
sec θ = 1 / cos θ
-4/3 = 1 / cos θ
[tex]\begin{gathered} \frac{-4}{3}\text{ = }\frac{1}{\text{cos }\theta} \\ \cos \text{ }\theta\text{ = -}\frac{3}{4} \end{gathered}[/tex]
cot θ = 1 / tan θ > 0
