Verify the identity using one side

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

Mar 20th, 2015

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

Mar 20th, 2015

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Mar 20th, 2015
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