Question

Question #75af2

Answer 1

Assuming that you mean `1/(cot^2(x) + 1)`, this simplifies to `sin^2(x)`

Explanation:

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

Multiply numerator and denominator by `sin^2(x)`:

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

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

`sin^2(x)`

done.