Question

se tgx= 1/3, calcule sen x e cos x

Answer 1

tgx = senx/cosx ⇒ senx/cosx = 1/3 ⇒  3senx  = cosx
sen²x + cos²x = 1
sen²x + 9sen²x = 1
sen²x = 1/10 ⇒ senx = √10/10
cosx = 3senx ⇒ cosx = 3[√10/10]
Resposta: senx = √10/10  cosx = 3√10/10