I want to find the intersection of two functions. One is $f(x) = cos(x)$. The other one is $g(x) = x$. When I do the normal steps like equating both functions and finding the roots, I get something like this $\cos(x) = x$ $\cos(x) - x = 0$ How do I proceed further? Is there any argument to cosine such that it would give back the same argument as output? If yes, how do I find it analytically without graphing the function?
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https://math.stackexchange.com/questions/46934/what-is-the-solution-of-cosx-x – Aligator Jan 25 '20 at 20:05
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https://en.wikipedia.org/wiki/Dottie_Number – Dark Malthorp Jan 25 '20 at 20:16
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You can try fixed-point iteration or Newton's Method get an approximate answer – helpme Jan 25 '20 at 21:48