html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcSech

 http://functions.wolfram.com/01.30.27.0318.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21