Question

daca sin de x=1/2,atunci tg x=....

Answer 1

$\displaystyle\\ \sin x = \frac{1}{2}\\\\ \text{Sinusul este pozitiv doar in cadranul 1 si in cadranul 2.}\\\\ \text{Cazul 1: } \\ x \in C1 ~\Rightarrow~x = 30^o \\ \Rightarrow~ \text{tg }x= \text{tg }30^o = \boxed{\frac{\sqrt{3}}{3}}\\\\ \text{Cazul 2: } \\ x \in C2 ~\Rightarrow~x = 150^o \\ \Rightarrow~ \text{tg }x= \text{tg }150^o =\text{tg }(180^o-30) =-\text{tg }30^o= \boxed{-\frac{\sqrt{3}}{3}}$