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 Sinh

 http://functions.wolfram.com/01.19.27.0048.01

 Input Form

 a Sinh[z] + b Cosh[z] == Sqrt[1 - a^2/b^2] b Cosh[z + ArcTanh[a/b]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["a", " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["b", " ", RowBox[List["Cosh", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List[SqrtBox[RowBox[List["1", "-", FractionBox[SuperscriptBox["a", "2"], SuperscriptBox["b", "2"]]]]], " ", "b", " ", RowBox[List["Cosh", "[", RowBox[List["z", "+", RowBox[List["ArcTanh", "[", FractionBox["a", "b"], "]"]]]], "]"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["a_", " ", RowBox[List["Sinh", "[", "z_", "]"]]]], "+", RowBox[List["b_", " ", RowBox[List["Cosh", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox[RowBox[List["1", "-", FractionBox[SuperscriptBox["a", "2"], SuperscriptBox["b", "2"]]]]], " ", "b", " ", RowBox[List["Cosh", "[", RowBox[List["z", "+", RowBox[List["ArcTanh", "[", FractionBox["a", "b"], "]"]]]], "]"]]]]]]]]

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

 2001-10-29