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 Tanh

 http://functions.wolfram.com/01.21.16.0051.01

 Input Form

 Tanh[a]^2 - Tanh[b]^2 == Sech[a]^2 Sech[b]^2 Sinh[a - b] Sinh[a + b]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["Tanh", "[", "a", "]"]], "2"], "-", SuperscriptBox[RowBox[List["Tanh", "[", "b", "]"]], "2"]]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["Sech", "[", "a", "]"]], "2"], " ", SuperscriptBox[RowBox[List["Sech", "[", "b", "]"]], "2"], " ", RowBox[List["Sinh", "[", RowBox[List["a", "-", "b"]], "]"]], " ", RowBox[List["Sinh", "[", RowBox[List["a", "+", "b"]], "]"]]]]]]]]

 MathML Form

 tanh 2 ( a ) - tanh 2 ( b ) sech 2 ( a ) sech 2 ( b ) sinh ( a - b ) sinh ( a + b ) a 2 -1 b 2 a 2 b 2 a -1 b a b [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox[RowBox[List["Tanh", "[", "a_", "]"]], "2"], "-", SuperscriptBox[RowBox[List["Tanh", "[", "b_", "]"]], "2"]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["Sech", "[", "a", "]"]], "2"], " ", SuperscriptBox[RowBox[List["Sech", "[", "b", "]"]], "2"], " ", RowBox[List["Sinh", "[", RowBox[List["a", "-", "b"]], "]"]], " ", RowBox[List["Sinh", "[", RowBox[List["a", "+", "b"]], "]"]]]]]]]]

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

 2001-10-29