Question

Simplify `cot^2x/(1+cot^2x)`?

Answer 1

Please see below.

Explanation:

`cot^2x/(1+cot^2x)`

= `cot^2x/csc^2x`

= `(cos^2x/sin^2x)/(1/sin^2x)`

= `cos^2x/sin^2x xxsin^2x/1`

= `cos^2x/cancel(sin^2x) xxcancel(sin^2x)/1`

= `cos^2x`