Question

Determine em cada caso os valores de x e y

Answer 1

Caso esteja pelo app, e tenha problemas para visualizar esta resposta, experimente abrir pelo navegador https://brainly.com.br/tarefa/41122078

                                                 

$\Large\boxed{\begin{array}{l}\tt a)~\sf cos~\alpha=\dfrac{2}{x}\\\sf \dfrac{1}{2}=\dfrac{2}{x}\\\sf x=2\cdot2\\\boxed{\boxed{\boxed{\boxed{\sf x=4}}}}\\\sf y^2+2^2=x^2\\\sf y^2+4=4^2\\\sf y^2=16-4\\\sf y^2=12\\\sf y=\sqrt{12}\\\sf y=\sqrt{2^2\cdot3}\\\boxed{\boxed{\boxed{\boxed{\sf y=2\sqrt{3}}}}}\end{array}}$

$\Large\boxed{\begin{array}{l}\tt b)~\sf sen~\alpha=\dfrac{y}{5}\\\sf \dfrac{3}{\diagup\!\!\!5}=\dfrac{y}{\diagup\!\!\!5}\\\huge\boxed{\boxed{\boxed{\boxed{\sf y=3}}}}\\\sf x^2+y^2=5^2\\\sf x^2+3^2=5^2\\\sf x^2+9=25\\\sf x^2=25-9\\\sf x^2=16\\\sf x=\sqrt{16}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=4}}}}\end{array}}$