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 ArcCsch

 http://functions.wolfram.com/01.29.27.0951.01

 Input Form

 ArcCsch[Sqrt[2]/Sqrt[z - 1]] == (Sqrt[1 - z]/(2 Sqrt[z - 1])) (ArcCsc[1/z] - Pi/2)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsch", "[", FractionBox[SqrtBox["2"], SqrtBox[RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[SqrtBox[RowBox[List["1", "-", "z"]]], RowBox[List["2", SqrtBox[RowBox[List["z", "-", "1"]]]]]], RowBox[List["(", RowBox[List[RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]], "-", FractionBox["\[Pi]", "2"]]], ")"]]]]]]]]

 MathML Form

 csch - 1 ( 2 z - 1 ) 1 - z 2 z - 1 ( csc - 1 ( 1 z ) - π 2 ) 2 1 2 z -1 1 2 -1 1 -1 z 1 2 2 z -1 1 2 -1 1 z -1 -1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", FractionBox[SqrtBox["2"], SqrtBox[RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox[RowBox[List["1", "-", "z"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]], "-", FractionBox["\[Pi]", "2"]]], ")"]]]], RowBox[List["2", " ", SqrtBox[RowBox[List["z", "-", "1"]]]]]]]]]]

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

 2003-08-21