Is the cosine fixpoint (the solution to the equation $\displaystyle x=\cos x$) rational or irrational, and is it possible to prove it?
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Hello espen180 Originally Posted by espen180 Is the cosine fixpoint (the solution to the equation $\displaystyle x=\cos x$) rational or irrational, and is it possible to prove it? I can't imagine that it could possibly be rational, but I have no idea how you might set about proving it! Grandad
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