Question

senx = 1/3 calcular sen 2x

Answer 1

Resposta:

Explicação passo-a-passo:

senx = 1/3 =>

sen²x + cos²x = 1 =>

(1/3)² + cos²x = 1 =>

1/9 + cos²x = 1 =>

cos²x = 1 - 1/9

cos²x = 8/9

cosx = √8/9

cosx = 2√2/3

Agora, temos que

sen2x = sen(x + x) = senx.cosx + cosx.senx =>

sen2x = 2.senx.cosx =>

sen2x = 2.1/3.2√2/3 =>

sen2x = 4√2/9