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 Sin

 http://functions.wolfram.com/01.06.19.0006.01

 Input Form

 Arg[Sin[x + I y]] == ArcTan[Cosh[y] Sin[x], Cos[x] Sinh[y]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Arg", "[", RowBox[List["Sin", "[", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "]"]], "\[Equal]", RowBox[List["ArcTan", "[", RowBox[List[RowBox[List[RowBox[List["Cosh", "[", "y", "]"]], " ", RowBox[List["Sin", "[", "x", "]"]]]], ",", RowBox[List[RowBox[List["Cos", "[", "x", "]"]], " ", RowBox[List["Sinh", "[", "y", "]"]]]]]], "]"]]]]]]

 MathML Form

 arg ( sin ( x + y ) ) tan - 1 ( cosh ( y ) sin ( x ) , cos ( x ) sinh ( y ) ) x y y x x y [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Arg", "[", RowBox[List["Sin", "[", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["ArcTan", "[", RowBox[List[RowBox[List[RowBox[List["Cosh", "[", "y", "]"]], " ", RowBox[List["Sin", "[", "x", "]"]]]], ",", RowBox[List[RowBox[List["Cos", "[", "x", "]"]], " ", RowBox[List["Sinh", "[", "y", "]"]]]]]], "]"]]]]]]

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

 2001-10-29