Hyperbolic functions: Difference between revisions

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Half argument formulas: added alternate half formula for tanh (I saw it from DOI:10.1073/pnas.1901692116, supplementary p.7, and checked it, but there might be a better source).
Tag: Reverted
Reverted 1 edit by Markovian typo (talk): Already given two lines above
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<math display="block"> \tanh\left(\frac{x}{2}\right) = \frac{\cosh x - 1}{\sinh x} = \coth x - \operatorname{csch} x </math>
 
also
 
<math display="block"> \tanh\left(\frac{x}{2}\right) = \frac{\sinh x}{1 + \cosh x} </math>
 
===Square formulas===
<math display="block">\begin{align}