Question

cossecante alfa = raiz de 3

Answer 1

$\csc( \alpha ) = \frac{1}{ \sin( \alpha ) } \\ \frac{1}{ \sin( \alpha ) } = \frac{1}{ \sqrt{3} }$
Racionalizando:

$\frac{1}{ \sqrt{3} } \times \frac{ \sqrt[]{3} }{ \sqrt{3} } = \frac{ \sqrt{3} }{3}$
$\frac{ \sqrt{3} }{3} = \tan(30 \: grau)$