html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Cosh

 http://functions.wolfram.com/01.20.27.0018.01

 Input Form

 Cosh[z] == Cot[I z]/Sqrt[1 + Cot[I z]^2] /; -Pi < Im[z] < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["Cot", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], " "]], SqrtBox[RowBox[List["1", "+", SuperscriptBox[RowBox[List["Cot", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "2"]]]]]]], "/;", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Im", "[", "z", "]"]], "<", "0"]]]]]]

 MathML Form

 cosh ( z ) cot ( z ) cot 2 ( z ) + 1 /; - π < Im ( z ) < 0 Condition z z z 2 1 1 2 -1 -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cosh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["Cot", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], SqrtBox[RowBox[List["1", "+", SuperscriptBox[RowBox[List["Cot", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "2"]]]]], "/;", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Im", "[", "z", "]"]], "<", "0"]]]]]]]]

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

 2001-10-29