2013-03 Hyperbolic cosine

Let \( t \) be a positive real number and \( m \) be a positive integer. Show that if both \( \cosh \, mt \) and \( \cosh \, (m+1)t \) are rational then \( \cosh \, t \) is also rational.

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2013-03 Hyperbolic cosine, 4.5 out of 5 based on 19 ratings