what is the summation of sinx+sin3x+sin5x+......+sin29x? could u pls give me adetailed explanation?

Hi,There is a formula to solve the series of sine having its inputs in AP.I.e sin[(2a+(n-1)d)/2]sin[nd/2]/sin[d/2]if sin(x) + sin(x+2x) + sin(x + 4x) -------- + sin(x + 28x) Here, a = x d = 2x n = 15Therefore , Sum of this series is equal to sin^2(15x)/sin(x)