How do you simplify $(sin^2xcosx)/(cos^2xsinx)$ ?

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Answer 1 · 2016-10-04T20:34:46

$(sin^2(x)cos(x))/(cos^2(x)sin(x))=color(green)(tan(x))$

$(sin^2(x)cos(x))/(cos^2(x)sin(x))=(sin(x) * cancel(sin(x)) * cancel(cos(x)))/(cos(x) * cancel(cos(x)) * cancel(sin(x))) = tan(x)$

How do you simplify (sin^2xcosx)/(cos^2xsinx)(sin^2xcosx)/(cos^2xsinx)?