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

2sin^3x/(1-cosx)

=2sin^3x/(1-(1-2sin^2(x/2))

=2sin^3x/(2sin^2(x/2))

=sin^3x/(sin^2(x/2))

=8cos^3x/2 sinx/2

=4 cos^2x/2 sinx

=2 (cosx +1) sinx

=2sinx +2sinxcosx

=2sinx +2sin2x

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