
Trigonometry Trigonometry Math Forum 
 LinkBack  Thread Tools  Display Modes 
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: 591 Thanks: 251 
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: 7,472 Thanks: 884 Math Focus: Elementary mathematics and beyond  
April 25th, 2017, 08:07 AM  #4  
Math Team Joined: Jul 2011 From: Texas Posts: 2,507 Thanks: 1234  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: 2,507 Thanks: 1234  Quote:
 

Tags 
cot(x)/csc^2x+cscxcotx1, identity, verify 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Verify the following identity  roketmike  Trigonometry  3  July 15th, 2014 08:51 AM 
Verify the Identity  swm06  Algebra  3  May 7th, 2013 08:18 AM 
Verify This Trigonometric Identity  reaper  Trigonometry  6  February 12th, 2012 07:51 PM 
Verify Trigonometric Identity  luigihs  Algebra  3  January 6th, 2011 02:37 PM 
Verify identity  Frenchiex  Calculus  4  August 14th, 2010 01:47 AM 