how do I verify that

(csc(x)/ 1 + csc(x)) - (csc(x)/ 1 - csc(x)) = 2 sec ^2(x)

I could use help with this one too, I tried doing it for practice but I am struggling on what to start with, I tried a few things but nothing was working.

Cross multiply:





Note that



Now, can you finish? Write it in terms of sin and cos and you should be able to see it?