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 Cosh

 http://functions.wolfram.com/01.20.16.0021.01

 Input Form

 Cosh[(I ArcCsc[z])/2] == (1/Sqrt[2]) Sqrt[1 + (Sqrt[z^2] Sqrt[z^2 - 1])/z^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Cosh", "[", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcCsc", "[", "z", "]"]]]], "2"], "]"]], "\[Equal]", RowBox[List[FractionBox["1", SqrtBox["2"]], SqrtBox[RowBox[List["1", "+", FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]]]], SuperscriptBox["z", "2"]]]]]]]]]]]

 MathML Form

 cosh ( 2 csc - 1 ( z ) ) 1 2 1 + z 2 z 2 - 1 z 2 2 -1 z 1 2 1 2 -1 1 z 2 1 2 z 2 -1 1 2 z 2 -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cosh", "[", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["ArcCsc", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[SqrtBox[RowBox[List["1", "+", FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]]]]], SuperscriptBox["z", "2"]]]]], SqrtBox["2"]]]]]]

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

 2001-10-29

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