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/01.12.27.1312.01

 Input Form

 ArcSin[Sqrt[z - 1]/Sqrt[z]] == Sqrt[1/z] Sqrt[z] (Sqrt[z - 1]/Sqrt[1 - z]) ArcCosh[Sqrt[1/z]]

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21