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 ArcSech

 http://functions.wolfram.com/01.30.27.0166.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21