Question

Calcule o valor da expressão X= cossec120°/ cotg30° ?

Answer 1

Lembre-se que:

$cosssec(x)=\frac{1}{sen(x)}\\ \\ cotg(x)=\frac{cos(x)}{sen(x)}$

$x=\frac{\frac{1}{sen(120^o)}}{\frac{cos(30^o)}{sen(30^o)}}=\frac{\frac{1}{\frac{\sqrt3}{2}}}{\frac{\frac{\sqrt3}{2}}{\frac{1}{2}}}}=\frac{2}{\sqrt3}\div \sqrt3=\frac{2}{\sqrt3}*\frac{1}{\sqrt3}=\frac{2}{3}$