Find the Laplace of sin(-3x)
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Answer:
Sin 3x = 3Sin x - 4Sin³x.
proof
Sin 3x = Sin(2x+x)
=Sin 2x.Cos x + Cos 2x.Sin x
=(2Sin x.Cos x )Cos x + (1–2Sin²x)Sin x
= 2Sinx.Cos²x + Sin x - 2Sin³x
= 2Sin x ( 1 - Sin²x) + Sin x - 2Sin³x
= 2Sin x - 2Sin³x + Sin x - 2 Sin x
= 3Sin x - 4Sin³x.
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