Hyperbolic functions: Difference between revisions

Content deleted Content added
Tags: Reverted Visual edit
Reverted 1 edit by 192.248.22.102 (talk)
Line 178:
\sinh\left(\frac{x}{2}\right) &= \frac{\sinh x}{\sqrt{2 (\cosh x + 1)} } &&= \sgn x \, \sqrt \frac{\cosh x - 1}{2} \\[6px]
\cosh\left(\frac{x}{2}\right) &= \sqrt \frac{\cosh x + 1}{2}\\[6px]
\tanh\left(\frac{x}{2}\right) &= \frac{\sinh x}{\cosh x + 1} &&= \sgn x \, \sqrt \frac{\cosh x-1}{\coscosh x+1} = \frac{e^x - 1}{e^x + 1}
\end{align}</math>