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Simplify sin x cos^2 x − sin x

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Please help.
asked Mar 2, 2013 in TRIGONOMETRY by payton Apprentice

1 Answer

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First factor out a common monomial factor and than use a fundamental identity.

       sin x cos2 x − sin x = sin x(cos2 x − 1)            Factor out common monomial factor.

                                       = − sin x(1− cos2 x)          Factor out − 1

                                       = − sin x(sin2 x)                 Pythagorean identity

                                       =− sin3 x                             Multiply

answered Mar 3, 2013 by casacop Expert

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