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; }

 Tanh

 http://functions.wolfram.com/01.21.16.0055.01

 Input Form

 Tanh[z] + I Tan[z] == Sec[z] Sech[z] Sinh[Sqrt[2] E^((I Pi)/4) z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Tan", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]], " ", RowBox[List["Sinh", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]], " ", "z"]], "]"]]]]]]]]

 MathML Form

 tanh ( z ) + tan ( z ) sec ( z ) sech ( z ) sinh ( 2 π 4 z ) z z z z 2 1 2 4 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Tanh", "[", "z_", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Tan", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]], " ", RowBox[List["Sinh", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]], " ", "z"]], "]"]]]]]]]]

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

 2003-08-21