prove that sin 3x is equal to 3 sin x - 4 sin square x
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Step-by-step explanation:
sin(3x)=sin(2x+x)
= sin2x.cosx + cos2x.sinx
= (2sinx.cosx).cosx + (1-2sin²x).sinx
=2sinx.cos² + sinx - 2sin³x
= 2sinx(1-sin²x) + sinx -2sin³x
= 2sinx - 2sin³x + sinx - 2sin³x
= 3sinx - 4sin³x
Q.E.D.
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