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verify: sin^5 x cos^2 x = (cos ^2 x - 2 cos ^4 x + cos ^6 x) sin x

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  • 8 years ago
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    LHS = sin^5 x cos² x

    = sinx (sin² x)² cos² x

    = sin x (1 - cos² x)² cos² x

    = sin x (1 - 2cos² x + cos^4 x) cos² x

    = sinx (cos² x - 2 cos^4 x + cos^6 x)

    = RHS

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