Trig problem, am I doing this right

Simplify:

(cos (2x) / sin^2 x) - csc^2x


= (cos ^2 x - sin^2 x)/ (sin ^2 x) - (cot^2 x + 1)

= (cos ^2 x/ sin^2 x) - (sin^2 x/ sin^2 x) - (cot^ 2 x + 1)

= (cot ^2 x) - (cot^ 2 x + 1)

= 1


If not what am I doing wrong? Thanks!

you did it wright untill

(cos ^2 x/ sin^2 x) - (sin^2 x/ sin^2 x) - (cot^ 2 x + 1)

cot^2 x-1 -cot^2-1

=-2

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

Close! But messed up on the last line!