Question

I need help with this practice It can be more than one answer, as stated in the instructions

Answer 1

we have the equation

$\begin{gathered} 3\cot \theta=-\sqrt[]{3} \\ \cot \theta=-\frac{\sqrt[]{3}}{3} \end{gathered}$

The solution for angle theta is

$\theta=\frac{1}{3}\lbrack3\pi\cdot n-\pi\rbrack$

simplify

$\theta=n\pi-\frac{\pi}{3}$

where

n ∈ Z