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 ArcSech

 http://functions.wolfram.com/01.30.27.1112.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21