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 Cosh

 http://functions.wolfram.com/01.20.27.0051.01

 Input Form

 Cosh[z] == (Sqrt[z^2] Sqrt[Csch[z]^2 + 1])/(z Csch[z]) /; Re[z] != 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "\[Equal]", FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", SqrtBox[RowBox[List[SuperscriptBox[RowBox[List["Csch", "[", "z", "]"]], "2"], "+", "1"]]]]], RowBox[List["z", " ", RowBox[List["Csch", "[", "z", "]"]]]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]

 MathML Form

 cosh ( z ) z 2 z csch 2 ( z ) + 1 csch ( z ) /; Re ( z ) 0 Condition z z 2 1 2 z -1 z 2 1 1 2 z -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cosh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", SqrtBox[RowBox[List[SuperscriptBox[RowBox[List["Csch", "[", "z", "]"]], "2"], "+", "1"]]]]], RowBox[List["z", " ", RowBox[List["Csch", "[", "z", "]"]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[NotEqual]", "0"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29