Sin(α+π/8)cos(α-π/24)

Question

Sin(α+π/8)cos(α-π/24)

Answer 1

Решение
Sin(α+π/8)cos(α-π/24) =
= (1/2)*[sin(α + π/8 - α + π/24)  + sin(α+π/8 + α - π/24)] =
= (1/2)*[sin(π/6) + sin(2α - π/12)] = 1/4 + (1/2)*sin(π/12)