Good day! I have this given trigonometric identity which is
$$2\cot(x)\csc(2x) - \cot^2(x) = 1$$

I may need to verify this one if the identities will equal to 1 or not but I'm not sure how I can verify it clearly since I complicate further the identities. I think I need some helpful guides from all of you in order for me to resolve my confusion on these trigonometric identities.

Your responses would be highly appreciated!!
Thank you very much!!