Cosine fixpoint

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May 23rd 2009, 07:28 AM
espen180

Cosine fixpoint

Is the cosine fixpoint (the solution to the equation $x=\cos x$ ) rational or irrational, and is it possible to prove it?
May 25th 2009, 01:01 AM
Grandad

Rational or irrational

Hello espen180

Quote:

Originally Posted by espen180

Is the cosine fixpoint (the solution to the equation $x=\cos x$ ) 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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