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January 14th, 2017, 12:41 AM   #1
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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:

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.


Last edited by yairmrm; January 14th, 2017 at 12:53 AM.
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January 14th, 2017, 01:27 AM   #2
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You can't of tried everything otherwise you would have solved the problem .

Surely you can plug it into Wolfram?
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January 14th, 2017, 08:17 AM   #3
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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.
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January 14th, 2017, 08:21 AM   #4
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looks like stuff straight out of spherical trigonometry, have you looked into that?
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January 14th, 2017, 11:51 AM   #5
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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...
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January 14th, 2017, 12:48 PM   #6
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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.
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January 14th, 2017, 06:39 PM   #7
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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.
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Last edited by Compendium; January 14th, 2017 at 06:53 PM.
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