Is There an Analytical Solution to the Transcendental Equation x = cot(x)?

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SUMMARY

The transcendental equation x = cot(x) does not have an analytical solution. Forum participants confirmed that while numerical methods can approximate solutions, no closed-form expression exists for this equation. The discussion emphasized the limitations of analytical approaches in solving such transcendental equations.

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twoflower
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Hi,

can somebody see if there is a way to solve this analytically?

[tex] x = \mbox{cotg } x[/tex]

I know it could be solved numerically, but I'm interested in analytical solution only (if it exists, of course).

Thank you very much.
 
Last edited:
Physics news on Phys.org
Sorry - none exist! :(
 

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