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/01.30.27.0408.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21