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 Cos

 http://functions.wolfram.com/01.07.19.0007.01

 Input Form

 Conjugate[Cos[x + I y]] == Cos[x] Cosh[y] + I Sin[x] Sinh[y]

 Standard Form

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

 MathML Form

 cos ( x + y ) _ cos ( x ) cosh ( y ) + sin ( x ) sinh ( y ) OverBar x y x y x y [/itex]

 Rule Form

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

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

 2001-10-29