prove that sin3x=3sinx-4sin^3x
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prove that sin3x=3sinx-4sin^3x

Prove that sin 3 is equal to 3 sin A minus 4 sin cube a

Proof:-

LHS=

=Sin3x

=sin(2x+x) 

=sin2x.cosx+cos2x.sinx

=2sinx.cosx.cosx+cos^2x -sin^2).sinx

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

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

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

=3sinx - 4sin^3x proved.......... 

Formula sin3x in term of sinx see video lecture and if you learn then pls subscribe.

 

prove that cos3x=4cos^3x-3cosx

 

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