Question

Dados sen x = 0,6 e 0 < X < $\frac{\pi}{2}$  ,determine o valor da tg   X.

Answer 1

$Sen.x = 0,6$
         $= \frac{6}{10}$
         $= \frac{3}{5}$ , then y = 3, r= 5

remember : $Sen .x= \frac{y}{r}$
$r= \sqrt{ x^{2} + y^{2} }$
$5= \sqrt{ x^{2} + 3^{2} }$
$25= x^{2} +9$
$x^{2} =16$
$x=4$

$tg.x= \frac{y}{x}$
$tan.x= \frac{3}{4}$ = 0,75