The cot(θ) is given by:
[tex]\cot (\theta)=\frac{adjacent}{opposite}=\frac{3}{4}[/tex]
so:
The hypotenuse can be found using pythagorean theorem:
[tex]\begin{gathered} x=\sqrt[]{4^2+3^2} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}[/tex]
Therefore, the csc(θ) is given by:
[tex]\begin{gathered} \csc (\theta)=\frac{hypotenuse}{opposite} \\ so\colon \\ \csc (\theta)=\frac{5}{4} \end{gathered}[/tex]
