Verify the Identity Sin^5x Cos^2x = (cos^2x - 2cos^4x + cos^6x) Sinx?

Zonic the hedgehog2011-02-17T02:52:29Z

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Sin^5xCos²x
= sinx.sin^4x.cos²x
= sinx(1 - cos²x)².cos²x
= sinx(1 - 2cos²x + cos^4x )cos²x
= sinx(cos²x - 2cos^4x + cos^6x)