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 Sin

 http://functions.wolfram.com/01.06.16.0125.01

 Input Form

 Sin[a] + Cosh[b] == 2 Cos[(a - I b)/2 - Pi/4] Cos[(a + I b)/2 - Pi/4]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sin", "[", "a", "]"]], "+", " ", RowBox[List["Cosh", "[", "b", "]"]]]], "\[Equal]", RowBox[List["2", RowBox[List["Cos", "[", RowBox[List[FractionBox[RowBox[List["a", "-", RowBox[List["\[ImaginaryI]", " ", "b"]]]], "2"], "-", FractionBox["\[Pi]", "4"]]], "]"]], RowBox[List["Cos", "[", RowBox[List[FractionBox[RowBox[List["a", "+", RowBox[List["\[ImaginaryI]", " ", "b"]]]], "2"], "-", FractionBox["\[Pi]", "4"]]], "]"]]]]]]]]

 MathML Form

 sin ( a ) + cosh ( b ) 2 cos ( 1 2 ( a - b ) - π 4 ) cos ( 1 2 ( a + b ) - π 4 ) a b 2 1 2 a -1 b -1 4 -1 1 2 a b -1 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Sin", "[", "a_", "]"]], "+", RowBox[List["Cosh", "[", "b_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", RowBox[List["Cos", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["a", "-", RowBox[List["\[ImaginaryI]", " ", "b"]]]], ")"]]]], "-", FractionBox["\[Pi]", "4"]]], "]"]], " ", RowBox[List["Cos", "[", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["a", "+", RowBox[List["\[ImaginaryI]", " ", "b"]]]], ")"]]]], "-", FractionBox["\[Pi]", "4"]]], "]"]]]]]]]]

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

 2003-08-21