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; }

 Tan

 http://functions.wolfram.com/01.08.16.0090.01

 Input Form

 Tan[ArcCoth[z]] == I - (2 I)/(1 + ((-1 + z)/z)^I/(1 + 1/z)^I)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Tan", "[", RowBox[List["ArcCoth", "[", "z", "]"]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", "-", FractionBox[RowBox[List["2", " ", "\[ImaginaryI]"]], RowBox[List["1", "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", FractionBox["1", "z"]]], ")"]], RowBox[List["-", "\[ImaginaryI]"]]], " ", SuperscriptBox[RowBox[List["(", FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]], "z"], ")"]], "\[ImaginaryI]"]]]]]]]]]]]]

 MathML Form

 tan ( coth - 1 ( z ) ) - 2 ( z - 1 z ) ( 1 + 1 z ) - + 1 z -1 2 z -1 z -1 1 1 z -1 -1 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tan", "[", RowBox[List["ArcCoth", "[", "z_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", "-", FractionBox[RowBox[List["2", " ", "\[ImaginaryI]"]], RowBox[List["1", "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", FractionBox["1", "z"]]], ")"]], RowBox[List["-", "\[ImaginaryI]"]]], " ", SuperscriptBox[RowBox[List["(", FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]], "z"], ")"]], "\[ImaginaryI]"]]]]]]]]]]]]

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

 2007-05-02

© 1998-2013 Wolfram Research, Inc.