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; }

 ArcSec

 http://functions.wolfram.com/01.18.16.0103.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21