Question

Sendo tan(x + y) = 25 e tan(x) = 5, o valor de... (Olhar a imagem)

Answer 1

Resposta:

Letra A

Explicação passo a passo:

$tg(x+y)=\frac{tgx+tgy}{1-tgx.tgy}\\\\25=\frac{5+tgy}{1-5tgy}\\\\5+tgy=25(1-5tgy)\\\\5+tgy=25-125tgy\\\\tgy+125tgy=25-5\\\\126tgy=20\\\\tgy=\frac{20}{126}\\\\tgy=\frac{10}{63}\\\\tg(\frac{\pi }{2}-y) =cogty=\frac{63}{10}$