Question

Calcule o valor da tan α, sabendo que: sen α = 3/5 e cos α = - 4/5 .
a) tg = 1
b) tg = - 3/4
c) tg = - 1/3
d) Nenhuma das alternativas

Answer 1

$\boxed{\begin{array}{l}\sf tg(\alpha)=\dfrac{sen(\alpha)}{cos(\alpha)} \\\sf tg(\alpha)=\dfrac{\frac{3}{\diagdown\!\!\!5}}{-\frac{4}{\diagdown\!\!\!5}}\\\sf tg(\alpha)=-\dfrac{3}{4}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~b}}}}\end{array}}$