In △ ABC, let a + C = 2B, a-c = π 3, find the value of SINB

In △ ABC, let a + C = 2B, a-c = π 3, find the value of SINB

∵ a + C = 2B ∵ Sina + sinc = 2sinb, that is, 2sina + c2cosa-c2 = 4sinb2cosb2, ∵ sinb2 = 12cosa-c2 = 34, and 0 & lt; B2 & lt; π 2, ∵ cosb2 = 134, ∵ SINB = 2sinb2cosb2 = 2 × 34 × 134 = 398