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Why doesn't Mathematica solve
x == Cos[x] properly?
NSolve fail with the message:
Solve::nsmet: This system cannot be solved with the methods available to Solve. >>
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In this case you might use:
One can see that this is valid only over the interval (-1, 1) which is probably why Solve does not give an answer:
A few methods to find the intersection in the illustration:
I would be remiss not to point out that my plot above is only looking at real values. One can see that as implemented
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