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 ArcCosh

 http://functions.wolfram.com/01.26.16.0015.01

 Input Form

 ArcCosh[x] + ArcSinh[y] == ArcSinh[x y + Sqrt[1 + y^2] Sqrt[x^2 - 1]] /; x > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List["ArcCosh", "[", "x", "]"]], "+", RowBox[List["ArcSinh", "[", "y", "]"]]]], "\[Equal]", RowBox[List["ArcSinh", "[", RowBox[List[RowBox[List["x", " ", "y"]], "+", RowBox[List[SqrtBox[RowBox[List["1", "+", SuperscriptBox["y", "2"]]]], " ", SqrtBox[RowBox[List[SuperscriptBox["x", "2"], "-", "1"]]]]]]], "]"]]]], "/;", RowBox[List["x", ">", "0"]]]]]]

 MathML Form

 cosh - 1 ( x ) + sinh - 1 ( y ) sinh - 1 ( x y + x 2 - 1 y 2 + 1 ) /; x > 0 Condition x y x y x 2 -1 1 2 y 2 1 1 2 x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["ArcCosh", "[", "x_", "]"]], "+", RowBox[List["ArcSinh", "[", "y_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["ArcSinh", "[", RowBox[List[RowBox[List["x", " ", "y"]], "+", RowBox[List[SqrtBox[RowBox[List["1", "+", SuperscriptBox["y", "2"]]]], " ", SqrtBox[RowBox[List[SuperscriptBox["x", "2"], "-", "1"]]]]]]], "]"]], "/;", RowBox[List["x", ">", "0"]]]]]]]]

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

 2001-10-29