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April 25th, 2017, 07:40 AM  #1 
Newbie Joined: Apr 2017 From: Philippines Posts: 2 Thanks: 0  Can anyone verify this identity?
cot(x) / csc^2(x) + csc(x)cot(x)1 = sin(x)/(1+cos(x)) I tried using the fundamental identities but got stuck at some point or another. Any help is appreciated, thanks! 
April 25th, 2017, 07:53 AM  #2 
Senior Member Joined: May 2016 From: USA Posts: 744 Thanks: 301 
So we don't waste time going over what you already tried, please show us what you have already done. That makes it easy to identify where you may have made a mistake.

April 25th, 2017, 08:02 AM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,540 Thanks: 920 Math Focus: Elementary mathematics and beyond  
April 25th, 2017, 08:07 AM  #4  
Math Team Joined: Jul 2011 From: Texas Posts: 2,604 Thanks: 1290  Quote:
in the denominator, note that $\csc^2{x} = 1 + \cot^2{x}$ ...  
April 25th, 2017, 10:12 AM  #5 
Newbie Joined: Apr 2017 From: Philippines Posts: 2 Thanks: 0 
cot(x) / csc^2x + cscxcotx1 = sinx/1+cosx Working on lefthand side cot(x) / csc^2x + cscxcotx1 cot(x) / 1+cot^2x +cscxcotx1 **cancel out constants** cot(x) / cot^2x+cscxcotx cot(x) / cotx(cotx+csx) cot(x) / cotx(cotx+csx) **cancel out cotx** 1 / (cotx+csx) = sin(x)/(1+cos(x)) And im stuck on what to do here next. ps: Sorry if my formatting is not so good yet. I only just joined. Last edited by trisource; April 25th, 2017 at 10:16 AM. 
April 25th, 2017, 10:40 AM  #6  
Math Team Joined: Jul 2011 From: Texas Posts: 2,604 Thanks: 1290  Quote:
 

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cot(x)/csc^2x+cscxcotx1, identity, verify 
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