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 ArcSech

 http://functions.wolfram.com/01.30.27.1143.01

 Input Form

 ArcSech[-z] == (Sqrt[-z^(-1) - 1]/Sqrt[1/z + 1]) (Pi/2 + ArcCsc[z])

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21