Question

How do you simplify `(cotx + cscx) (cotx - cscx)`?

Answer 1

`-1`

Explanation:

`(cotx+cscx)(cotx−cscx)`

`=(cot^2x-csc^2x)`

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

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

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

`=-sin^2x/sin^2x`

`=-1`