Question

sendo tgx= raiz quadrada de 2, calcule senx

Answer 1

senx/cosx = √2 => tudo ao quadrado

sen²x/cos²x = 2 => invertendo tudo

cos²x/sen²x = 1/2

cos²+sen²x/sen²x = 1+2/2

1/sen²x = 3/2

sen²x = 2/3

senx = √(2/3) = √2/√3 *(√3/√3)= ±√6 /3