Establish each identity. I would like to check my answers to make sure it's right :) Thank you!

Question

1) 1-cosΘ⁄sinΘ+sinΘ/1-cosΘ=2cscΘ

2) cos(α-β)⁄sinαsinβ=cotαcotβ+1

Answer 1

so, what is your answer, and how did you get it?
We can check it for you.

hint: find a common denominator in both of these.