Posted by Haley on Wednesday, January 12, 2011 at 11:04pm.
verify that the equation is an identity:
(1cosX)/(1+cosX) = (cscXcotX)^2

Math  Reiny, Wednesday, January 12, 2011 at 11:11pm
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

Math  Haley, Wednesday, January 12, 2011 at 11:32pm
thanks. How would you know how to do similar problems? Where should i start when verifying trig equations?

Math  Reiny, Wednesday, January 12, 2011 at 11:42pm
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
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