Respuesta:
[tex]\textsc{Si;}[/tex]
[tex]\csc x=\dfrac{2\sqrt{3} }{3}[/tex]
[tex]\textsf{Calculamos;}[/tex]
[tex]{\tan x=\dfrac{3}{\sqrt{3}} =\dfrac{3}{\sqrt{3}}.\dfrac{\sqrt{3}}{\sqrt{3}} =\dfrac{3.\sqrt{3} }{3} =\sqrt{3}[/tex]
[tex]\boxed{\tan x=\sqrt{3}}[/tex]
[tex]\boxed{\cot x=\dfrac{\sqrt{3} }{3} }[/tex]