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 ArcCsch

 http://functions.wolfram.com/01.29.27.0124.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21