CTAN sync 202210020304

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diff --git a/info/mathtrip/src/hyper.tex b/info/mathtrip/src/hyper.tex
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+%This command provides the text for the hyperbolic function in
+%the second part of the second column in page 4
+%
+%This macro has one parameter
+%      1) The width allowed to typeset the text
+\newcommand\TFourHyperbolic[1]{%
+   \parbox[t]{#1}{%
+      \DisplaySpace{\TFourDisplaySpace}{\TFourDisplayShortSpace}
+
+      \TFourTitle{Definitions:}
+       \begin{DisplayFormulae}{1}{0pt}{\TFourSkipFormulae}{\BigChar}{\StyleWithoutNumber}
+        \def\LineOfArray##1##2##3##4{\rule{0pt}{4ex plus .5ex minus 1ex}%
+                                     {##1}&=&{##2}&{##3}&=&{##4}\\}
+        \Fm{\begin{array}{l%Equal sign
+                          @{\hspace{.1em}}c@{\hspace{.2em}}%
+                          l%
+                          l%
+                          @{\hspace{.1em}}c@{\hspace{.2em}}%
+                          l}
+                 \LineOfArray{\sinh x}{\frac{e^x - e^{-x}}{2}}%
+                             {\cosh x}{\frac{e^x + e^{-x}}{2}}
+                 \LineOfArray{\tanh x}{\frac{e^x - e^{-x}}{e^x + e^{-x}}}
+                             {\csch x}{\frac{1}{\sinh x}}
+                 \LineOfArray{\sech x}{\frac{1}{\cosh x}}
+                             {\coth x}{\frac{1}{\tanh x}}
+              \end{array}%
+           }
+      \end{DisplayFormulae}
+
+      \TFourTitle{Identities:}
+      \AdjustSpace{1ex plus .5ex minus .5ex}
+      \begin{DisplayFormulae}{1}{0pt}{\TFourSkipFormulae}{\BigChar}{\StyleWithoutNumber}
+          \def\FmSep{\unskip\text{,}}%use a comma as separator for the formula
+          \Fm{\cosh^2 x - \sinh^2 x = 1}
+          \Fm{\tanh^2 x + \sech^2 x = 1}
+          \Fm{\coth^2 x - \csch^2 x = 1}
+          \Fm{\sinh (-x) = - \sinh x}
+          \Fm{\cosh (-x) = \cosh x}
+          \Fm{\tanh (-x) = - \tanh x}
+          \Fm{\sinh (x + y) = \sinh x \cosh y + \cosh x \sinh y}
+          \Fm{\cosh (x + y) = \cosh x \cosh y + \sinh x \sinh y}
+          \Fm{\sinh 2x = 2 \sinh x \cosh x}
+          \Fm{\cosh 2x = \cosh^2 x + \sinh^2 x}
+          \Fm{\cosh x + \sinh x = e^x}
+          \Fm{\cosh x - \sinh x = e^{-x}}
+          \def\FirstPart{(\cosh x + \sinh x)^n = \mbox{}}
+          \FmPartA{\FirstPart\cosh n x +}
+          \FmPartB{\FirstPart}{\sinh n x \MathRemark{n \in \Z}}
+          \Fm{2 \sinh^2 \tfrac{x}{2} = \cosh x - 1}
+          \def\FmSep{\unskip\text{.}}
+          \Fm{2 \cosh^2 \tfrac{x}{2} = \cosh x + 1}
+      \end{DisplayFormulae}
+   }
+}