Question

Sabiendo que: Sen x + Cos x =√ 4/3 ; calcular: E = Senx . Cosx

Answer 1

Explicación paso a paso:

Senx + Cosx = √4/3

(Senx + Cosx = √4/3)²

(Senx + Cosx)² = (√4/3)²

Sen²x + 2(Senx)(Cosx) + Cos²x = 4/3

Sen²x + Cos²x + 2(Senx)(Cosx) = 4/3

1 + 2(Senx)(Cosx) = 4/3

2(Senx)(Cosx) = 1/3

(Senx)(Cosx) = 1/6

E = 1/6