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 Csc

 http://functions.wolfram.com/01.10.16.0051.01

 Input Form

 a Csc[z] + b Sec[z] == 2 b Sqrt[1 + a^2/b^2] Sin[z + ArcTan[a/b]] Csc[2 z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["a", " ", RowBox[List["Csc", "[", "z", "]"]]]], "+", RowBox[List["b", " ", RowBox[List["Sec", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List["2", "b", SqrtBox[RowBox[List["1", "+", FractionBox[SuperscriptBox["a", "2"], SuperscriptBox["b", "2"]]]]], RowBox[List["Sin", "[", RowBox[List["z", "+", RowBox[List["ArcTan", "[", RowBox[List["a", "/", "b"]], "]"]]]], "]"]], " ", RowBox[List["Csc", "[", RowBox[List["2", "z"]], "]"]]]]]]]]

 MathML Form

 a csc ( z ) + b sec ( z ) 2 b 1 + a 2 b 2 sin ( z + tan - 1 ( a b ) ) csc ( 2 z ) a z b z 2 b 1 a 2 b 2 -1 1 2 z a b -1 2 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["a_", " ", RowBox[List["Csc", "[", "z_", "]"]]]], "+", RowBox[List["b_", " ", RowBox[List["Sec", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", "b", " ", SqrtBox[RowBox[List["1", "+", FractionBox[SuperscriptBox["a", "2"], SuperscriptBox["b", "2"]]]]], " ", RowBox[List["Sin", "[", RowBox[List["z", "+", RowBox[List["ArcTan", "[", FractionBox["a", "b"], "]"]]]], "]"]], " ", RowBox[List["Csc", "[", RowBox[List["2", " ", "z"]], "]"]]]]]]]]

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

 2003-08-21