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TrigonometryQ&A LibraryProve that the following identity is true.sin2tan xx sin x cos x=sin x - cos xcos x 2 cos xWe begin on the right side of the equation by factoring the numerator and denominator. We can then use a Pythagorean Identity in the denominator and reduce. We can then use theratio identity, and then factor the denominator. Finally we simplify by reducing the common factor.sin x(sin x + cos x)sin2 xsin x cos xCos X 1 -cos X 2 cos3 xcos x)sin x(sin x=sin2 xcos2 xCOS Xsin xcos xsin xsin2 x -COS Xsin x cos x= tan xsin2 xsin x cos x= tan x.(sin x - cos x)tan xsin x - cos xQuestion

Asked Oct 20, 2019

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