Editing Hyperbolic functions (section)

===Inequalities===

The following inequality is useful in statistics:<ref>{{cite news |last1=Audibert |first1=Jean-Yves |date=2009 |title=Fast learning rates in statistical inference through aggregation |publisher=The Annals of Statistics |page=1627}} [https://projecteuclid.org/download/pdfview_1/euclid.aos/1245332827]</ref>
<math display="block">\operatorname{cosh}(t) \leq e^{t^2 /2}.</math>

It can be proved by comparing the Taylor series of the two functions term by term.