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 ArcCsch

 http://functions.wolfram.com/01.29.27.0305.01

 Input Form

 ArcCsch[Sqrt[-(2/(z + 1))]] == ((Sqrt[z] Sqrt[-z^(-1)])/2) (-Pi + ArcCos[z])

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21