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; }

 ArcCsc

 http://functions.wolfram.com/01.17.16.0044.01

 Input Form

 ArcCsc[Sqrt[2/(1 + z)]] == (Sqrt[1 + z]/2) Sqrt[1/(1 + z)] (Pi/2 + ArcCsc[1/z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsc", "[", SqrtBox[FractionBox["2", RowBox[List["1", "+", "z"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["Sqrt", "[", RowBox[List["1", "+", "z"]], "]"]], "2"], RowBox[List["Sqrt", "[", FractionBox["1", RowBox[List["1", "+", "z"]]], "]"]], RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["ArcCsc", "[", FractionBox["1", "z"], "]"]]]], ")"]]]]]]]]

 MathML Form

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

 Rule Form

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

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

 2003-08-21

© 1998-2013 Wolfram Research, Inc.