html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Sech

 http://functions.wolfram.com/01.24.16.0054.01

 Input Form

 Sech[a] - Sec[b] == -2 Sinh[(a - I b)/2] Sinh[(a + I b)/2] Sec[b]

 Standard Form

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

 MathML Form

 sech ( a ) - sec ( b ) - 2 sinh ( a - b 2 ) sinh ( a + b 2 ) sec ( b ) a -1 b -2 a -1 b 2 -1 a b 2 -1 b [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Sech", "[", "a_", "]"]], "-", RowBox[List["Sec", "[", "b_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "2"]], " ", RowBox[List["Sinh", "[", 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"]]]], ")"]]]], "]"]], " ", RowBox[List["Sec", "[", "b", "]"]]]]]]]]

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

 2003-08-21

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