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
Respond to this Question
Similar Questions

Math
Verify the identity . (cscXcotX)^2=1cosX/1+cosX _______ sorry i cant help you (cscXcotX)=1/sinX  cosX/sinX = (1cosX)/sinX If you square this you have (1cosX)^2/(sinX)^2 Now use (sinX)^2 = 1  (cosX)^2 to get (1cosX)^2 / 1  … 
trig
express this in sinx (1/ cscx + cotx )+ (1/cscx cotx) i got 2sinx is that right? 
drwls
My previous question: Verify that (secx/sinx)*(cotx/cscx)=cscx is an identity. (secx/sinx)*(cotx/cscx) = (secx/cscx)(cotx/sinx) = (sinx/cosx)*cotx*(1/sinx) "The last steps should be obvious" Not to me. I can convert (sinx/cosx) to … 
pre calc
prove identity cscx(cosx)(cotx)=sinx 
Math
Im really struggling with these proving identities problems can somebody please show me how to do these? 
Math
Im really struggling with these proving identities problems can somebody please show me how to do these? 
trigonometry
can i use factoring to simplify this trig identity? 
Math
square root of (1cosx/1+cosx) = cscx  cotx prove the identity 
Precalculus/Trig
I can't seem to prove these trig identities and would really appreciate help: 1. cosx + 1/sin^3x = cscx/1  cosx I changed the 1: cosx/sin^3x + sin^3x/sin^3x = cscx/1cosx Simplified: cosx + sin^3x/sin^3x = cscx/1cosx I don't know … 
Calc
Verify that the trigonometric equation is an identity. 1/2 sin 2 x − sin^2x over sinxcos2x = 1 over sinx+cosx Verify that the trigonometric equation is an identity. cotx over 1sinx =secx(cscx+1) Can someone please Help!!! these …