Question

Seno 0 graus< ângulo teta<90 graus, cos teta=1/2, calcule

seno de teta= ?
tangente de teta=?


me ajudem

Answer 1

Cos(@)=1/2
@=arc Cos(1/2)
@=60°=π/6

Sen²(@)+cos²(@)=1
sen²(@)+1/4=1
sen²(@)=3/4
$sen(teta) = \frac{ \sqrt{3} }{2} \\ tan(teta) = \sqrt{3}$
Sen(@)=√3/2

tan(@)=Sen(@)/Cos(@)
tan(@)=√3/2/1/2
tan(@)=√3