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 Tanh

 http://functions.wolfram.com/01.21.16.0044.01

 Input Form

 Tanh[a] Coth[b] == (Sinh[a + b] + Sinh[a - b])/(Sinh[a + b] - Sinh[a - b])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "a", "]"]], " ", RowBox[List["Coth", "[", "b", "]"]]]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["Sinh", "[", RowBox[List["a", "+", "b"]], "]"]], "+", RowBox[List["Sinh", "[", RowBox[List["a", "-", "b"]], "]"]]]], RowBox[List[RowBox[List["Sinh", "[", RowBox[List["a", "+", "b"]], "]"]], "-", RowBox[List["Sinh", "[", RowBox[List["a", "-", "b"]], "]"]]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Tanh", "[", "a_", "]"]], " ", RowBox[List["Coth", "[", "b_", "]"]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["Sinh", "[", RowBox[List["a", "+", "b"]], "]"]], "+", RowBox[List["Sinh", "[", RowBox[List["a", "-", "b"]], "]"]]]], RowBox[List[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