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/01.12.27.1346.01

 Input Form

 ArcSin[Sqrt[z^2 + 1]] == Pi/2 - (Sqrt[-z^4]/(2 z^2)) ArcCosh[1 + 2 z^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcSin", "[", SqrtBox[RowBox[List[SuperscriptBox["z", "2"], "+", "1"]]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List[FractionBox[SqrtBox[RowBox[List["-", SuperscriptBox["z", "4"]]]], RowBox[List["2", " ", SuperscriptBox["z", "2"]]]], RowBox[List["ArcCosh", "[", RowBox[List["1", "+", RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]], "]"]]]]]]]]]]

 MathML Form

 sin - 1 ( z 2 + 1 ) π 2 - - z 4 2 z 2 cosh - 1 ( 2 z 2 + 1 ) z 2 1 1 2 2 -1 -1 -1 z 4 1 2 2 z 2 -1 2 z 2 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcSin", "[", SqrtBox[RowBox[List[SuperscriptBox["z_", "2"], "+", "1"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["\[Pi]", "2"], "-", FractionBox[RowBox[List[SqrtBox[RowBox[List["-", SuperscriptBox["z", "4"]]]], " ", RowBox[List["ArcCosh", "[", RowBox[List["1", "+", RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]], "]"]]]], RowBox[List["2", " ", SuperscriptBox["z", "2"]]]]]]]]]]

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

 2003-08-21