Question

Dik.nilai sin α x cos β = 1/3 dan sin ( α + β) = 5 phi/6. Nilai sin (α-β) adalah

Answer 1

Verified answer

Materi : Trigonometri

diketahui 
sin α . cos β = 1/3
maka
2 . sin α . cos β = 2/3
sin(α + β) + sin(α - β) = 2/3
(5π/6) + sin(α - β) = 2/3
sin(α - β) = 2/3 - (5π/6)
sin(α - β) = 4/6 - 5π/6
sin(α - β) = (4 - 5π) / 6