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 Cos

 http://functions.wolfram.com/01.07.16.0118.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21