cos(5w) + cos(w) cot(2w)

----------------- = ----------

cos(w) - cos(5w) tan(3w)

and

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

Lol alright.

For the 1st one. I just used a sum product identity on the left side of the equation, but came up with just cot(2w) * cot(3w). Am I missing something?

and for the 2nd one, I don't know what identity to use lol