prove:

Question

2sinx+sin2x = 2sin^3(x)/1-cosx

Answer 1

LS = 2sinx + 2sinxcosx
= 2sinx(1 + cosx)
= 2sinx(1 + cosx)(1-cosx)/(1-cosx)
= 2sinx(1 - cos^2x)/(1-cosx)
= 2sinx(sin^2x)/(1-cosx)
= 2sin^3x/(1-cosx)
= RS

Answer 2

Thank you Reiny!