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How do you simplify ${cos}^{3} x + {sin}^{2} x cos x$ $cos^3x + sin^2xcosx$ ?

1 Answer

Aug 6, 2015

It's not that bad:

$= cos x ({cos}^{2} x + {sin}^{2} x)$ $= cosx(cos^2x + sin^2x)$

$= cos x$ $= color(blue)(cosx)$

since there is an identity that says that ${sin}^{2} x + {cos}^{2} x = 1$ $sin^2x + cos^2x = 1$ .

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