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 Cos

 http://functions.wolfram.com/01.07.22.0004.01

 Input Form

 FourierSinTransform[Cos[a t], t, z] == (-Sqrt[2/Pi]) (z/(a^2 - z^2)) /; Element[a, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FourierSinTransform", "[", RowBox[List[RowBox[List["Cos", "[", RowBox[List["a", " ", "t"]], "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", SqrtBox[FractionBox["2", "\[Pi]"]]]], FractionBox["z", RowBox[List[SuperscriptBox["a", "2"], "-", SuperscriptBox["z", "2"]]]]]]]], "/;", RowBox[List["Element", "[", RowBox[List["a", ",", "Reals"]], "]"]]]]]]

 MathML Form

 ℱ𝓈 t [ cos ( a t ) ] ( z ) - 2 π z a 2 - z 2 /; a TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition Subscript ℱ𝓈 t a t z -1 2 -1 1 2 z a 2 -1 z 2 -1 a [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FourierSinTransform", "[", RowBox[List[RowBox[List["Cos", "[", RowBox[List["a_", " ", "t_"]], "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List[SqrtBox[FractionBox["2", "\[Pi]"]], " ", "z"]], RowBox[List[SuperscriptBox["a", "2"], "-", SuperscriptBox["z", "2"]]]]]], "/;", RowBox[List["a", "\[Element]", "Reals"]]]]]]]]

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

 2001-10-29