Do there exist non trivial solutions of the equation tan x = x and if they do exist, how to evaluate them algebraically? I graphed it on Desmos and got many random - looking solutions, is there any specific pattern or equation which describes their occurrence and if it does, what is the nature of these numbers? I mean like rational, irrational, transcendental etc
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1I'm pretty sure there isn't any way of fidning the solutions exactly. – A-Level Student Dec 22 '20 at 10:58
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Does this answer your question? Expressing the solutions of the equation $ \tan(x) = x $ in closed form. Found using Approach0. – Toby Mak Dec 22 '20 at 11:01