Question

Sendo x = 2π/3, calcule o valor de sen 3x + sen x/2 - sen 9x/2.​

Answer 1

Resposta:

√3/2

Explicação passo-a-passo:

sen (3x) + sen (x/2) - sen (9x/2) =

= sen (3 . (2π/3) ) + sen ( (2π/3) / 2) - sen (9. (2π/3) / 2) =

= sen (2π) + sen (π/3) - sen (6π/2) =

= sen (2π) + sen (π/3) - sen (3π) =

= 0 + √3/2 - 0 = √3/2