## Trignometry: sin-3x, Mathematics

Assignment Help:

sin(2x+x)=sin2x.cosx+cos2x.sinx

=2sinxcosx.cosx+(-2sin^2x)sinx

=2sinxcos^2+sinx-2sin^3x

=sinx(2cos^2x+1)-2sin^3x

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

=2sinx-2sin^3x+sinx-2sin^3x

= 3sinx-4sin^3x

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