January 13th, 2017, 11:41 PM  #1 
Newbie Joined: Jan 2017 From: Israel Posts: 1 Thanks: 0  Monstrous equation
Hi, I am working on a great (and heavy) paper that relate to trigo, geometry, and algebra, and I got the following equation: https://drive.google.com/file/d/0B3t...5GbXJieTA/view It is an equation with 4 unknowns, and I do not need to solve it, I just need to know if it a false or true expression. Can anybody give me a direction? I kind of tried everything, and it does not go pretty well for me by now. Thanks! Last edited by yairmrm; January 13th, 2017 at 11:53 PM. 
January 14th, 2017, 12:27 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,597 Thanks: 546 Math Focus: Yet to find out. 
You can't of tried everything otherwise you would have solved the problem . Surely you can plug it into Wolfram? 
January 14th, 2017, 07:17 AM  #3 
Senior Member Joined: May 2016 From: USA Posts: 1,038 Thanks: 423 
What does "true or false expression" even mean? As for solving the equation, it has multiple unknowns so it either has an infinite number of solutions or no solutions. One thing you might try is to assign values to all the unknowns but one and try to solve the resulting equation in one unknown. Such an experiment might indicate what kind of bounds must be placed on the unknowns to permit any solution. 
January 14th, 2017, 07:21 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 1,981 Thanks: 1027 
looks like stuff straight out of spherical trigonometry, have you looked into that?

January 14th, 2017, 10:51 AM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,619 Thanks: 845 
Solved it in my head during my walk, wrote solution on back of my cigarette back, but unfortunately threw the pack away (only 1 cancer stick was left), so can't help....solly, very solly... 
January 14th, 2017, 11:48 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 19,064 Thanks: 1621 
I think the equation would be an identity if you changed the sign of one side and excluded values of the variables that would cause any denominator to be zero.

January 14th, 2017, 05:39 PM  #7 
Senior Member Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus 
Skipjack is correct. I looked at both sides of the equation after Maxima fully simplified it, and they do not appear to be equal. They differ by a sign.
Last edited by Compendium; January 14th, 2017 at 05:53 PM. 

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