Can someone please solve this problem

ANSWER[tex] \boxed { \sqrt{} }30 \degree[/tex][tex] \boxed { \sqrt{} }210 \degree[/tex]EXPLANATIONWe want to solve [tex] \cot( \theta) = \sqrt{3} [/tex]where [tex]0 \degree \: \leqslant x \leqslant 360 \degree[/tex]We reciprocate both sides of this trigonometric equation to obtain:[tex] \tan( \theta) = \frac{1}{ \sqrt{3} } [/tex]We take arctangent of both sides to get;[tex] \theta = \tan ^{ - 1} ( \frac{1}{ \sqrt{3} } ) [/tex][tex] \theta = 30 \degree[/tex]This is the principal solution.The tangent ratio is also positive in the third quadrant.The solution in the third quadrant is [tex]180 + \theta = 180 + 30 = 210 \degree[/tex]