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 Sin

 http://functions.wolfram.com/01.06.16.0036.01

 Input Form

 Sin[n ArcTan[x, y]] == (y/Sqrt[x^2 + y^2]) ChebyshevU[n - 1, x/Sqrt[x^2 + y^2]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sin", "[", RowBox[List["n", " ", RowBox[List["ArcTan", "[", RowBox[List["x", ",", "y"]], "]"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["y", SqrtBox[RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]]]], " ", RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List["n", "-", "1"]], ",", FractionBox["x", SqrtBox[RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]]]]]], "]"]]]]]]]]

 MathML Form

 sin ( n tan - 1 ( x , y ) ) y x 2 + y 2 U n - 1 ( x x 2 + y 2 ) n x y y x 2 y 2 1 2 -1 ChebyshevU n -1 x x 2 y 2 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sin", "[", RowBox[List["n_", " ", RowBox[List["ArcTan", "[", RowBox[List["x_", ",", "y_"]], "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["y", " ", RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List["n", "-", "1"]], ",", FractionBox["x", SqrtBox[RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]]]]]], "]"]]]], SqrtBox[RowBox[List[SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]]]]]]]]]

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

 2001-10-29