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; }

 ArcSin

 http://functions.wolfram.com/01.12.27.1240.01

 Input Form

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

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List["2", SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]], " ", SqrtBox[FractionBox["1", RowBox[List["z", "-", "1"]]]], " ", SqrtBox[FractionBox[RowBox[List["z", "-", "1"]], SuperscriptBox["z", "2"]]], " ", RowBox[List["ArcCosh", "[", SqrtBox[FractionBox[RowBox[List["1", "+", "z"]], "2"]], "]"]]]]]]]]]]

 MathML Form

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

 Rule Form

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

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

 2003-08-21