Question

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

Answer 1

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

Explanation:

`(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)`