Prove that (cscx  cotx)^2 = (1cosx)/(1+cosx)by RandomHero Tags: 1cosx or 1, cosx, cotx2, cscx, prove 

#1
Feb1009, 10:47 PM

P: 40

1. The problem statement, all variables and given/known data
I can't seem to figure out how to prove that (cscx  cotx)^2 = (1cosx)/(1+cosx). 2. Relevant equations I believe I just need to do appropriate substitution using compound angle formulas, double angle formulas, etc... 3. The attempt at a solution I got as far as this 1 + cot^2x  2(1/tanx)(1/sinx) + cot^2x = (1cosx)/(1+cosx) Can anyone help me figure this out? Thanks in advance!! 



#2
Feb1009, 11:08 PM

Sci Advisor
HW Helper
Thanks
P: 25,175

It's not that complicated. Turn everything into sin's and cos's. The denominator is sin(x)^2. That's (1cos^2(x)). Factor it.



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