Math
posted by Haley .
verify that the equation is an identity:
(1cosX)/(1+cosX) = (cscXcotX)^2

LS = (1 cosx)/(1 + cosx) [(1cox)/(1cosx)]
= (1cosx)^2/(1cos^2x)
RS = (1/sinx  cosx/sinx)^2
= ((1cosx)/sinx)^2
= (1cosx)^2 /(sin^2x)
= (1cosx)^2/(1cos^2)
= LS 
thanks. How would you know how to do similar problems? Where should i start when verifying trig equations?

Usually start with the complicated looking side and try to reduce to the simpler side.
In this case I worked on both sides.
Also I often change everything to sines and cosines, unless I recognize a popular identity.
How did I know where to start??
Let's say doing this for 35 years and doing thousands of these could be the reason, lol