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 Sinh

 http://functions.wolfram.com/01.19.16.0120.01

 Input Form

 Sinh[a] + I Sin[b] == 2 Cosh[(a - I b)/2] Sinh[(a + I b)/2]

 Standard Form

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

 MathML Form

 sinh ( a ) + sin ( b ) 2 cosh ( a - b 2 ) sinh ( a + b 2 ) a b 2 a -1 b 2 -1 a b 2 -1 [/itex]

 Rule Form

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

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

 2003-08-21