hyperbolic.tex

\begin{tabular}{l|l|l}
    \multicolumn{3}{c}{Гиперболические функции} \\
    \hline
    
    $\displaystyle \operatorname{sh}x=\frac{e^x-e^{-x}}{2}$ &
    $\displaystyle \operatorname{sh}(x \pm y)=\operatorname{sh}x\,\operatorname{ch}y \pm \operatorname{sh}y\,\operatorname{ch}x.$ &
    $\displaystyle \operatorname{ch}^2\frac{x}{2} = \frac{\operatorname{ch} x + 1}{2}.$ \\  
    
    $\displaystyle \operatorname{ch}x=\frac{e^x+e^{-x}}{2}$ &
    $\displaystyle \operatorname{ch}(x \pm y)=\operatorname{ch}x\,\operatorname{ch}y \pm \operatorname{sh}y\,\operatorname{sh}x.$ &
    $\displaystyle \operatorname{sh}^2\frac{x}{2} = \frac{\operatorname{ch} x - 1}{2}.$ \\  
    
    $\displaystyle \operatorname{ch}^2t-\operatorname{sh}^2t=1$ &
    $\displaystyle \operatorname{th}(x \pm y)=\frac{\operatorname{th}x \pm \operatorname{th}y}{1 \pm \operatorname{th}x\,\operatorname{th}y}.$ &
    $\displaystyle $ \\  
    
    $\displaystyle $ &
    $\displaystyle \operatorname{cth}(x \pm y)=\frac{ 1 \pm \operatorname{cth}x\,\operatorname{cth}y}{\operatorname{cth}x \pm \operatorname{cth}y}.$ &
    $\displaystyle $ \\  
    \hline
\end{tabular}