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 ArcSech

 http://functions.wolfram.com/01.30.27.0312.01

 Input Form

 ArcSech[z] == (-((2 Sqrt[-1 + z] Sqrt[z])/Sqrt[1 - z])) Sqrt[1/z] ArcCos[Sqrt[(z + 1)/(2 z)]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSech", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["2", " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], " ", SqrtBox["z"]]], SqrtBox[RowBox[List["1", "-", "z"]]]]]], SqrtBox[FractionBox["1", "z"]], RowBox[List["ArcCos", "[", SqrtBox[FractionBox[RowBox[List["z", "+", "1"]], RowBox[List["2", "z"]]]], "]"]]]]]]]]

 MathML Form

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

 Rule Form

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

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

 2003-08-21