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http://functions.wolfram.com/01.09.16.0052.01
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Cot[z]^3 == (3 Cos[z] + Cos[3 z])/(3 Sin[z] - Sin[3 z])
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Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["Cot", "[", "z", "]"]], "3"], "\[Equal]", FractionBox[RowBox[List[RowBox[List["3", " ", RowBox[List["Cos", "[", "z", "]"]]]], "+", RowBox[List["Cos", "[", RowBox[List["3", " ", "z"]], "]"]]]], RowBox[List[RowBox[List["3", " ", RowBox[List["Sin", "[", "z", "]"]]]], "-", RowBox[List["Sin", "[", RowBox[List["3", " ", "z"]], "]"]]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> cot </mi> <mn> 3 </mn> </msup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mfrac> <mrow> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mrow> <mi> cos </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mi> cos </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mrow> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mrow> <mi> sin </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mi> sin </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <apply> <cot /> <ci> z </ci> </apply> <cn type='integer'> 3 </cn> </apply> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <cos /> <ci> z </ci> </apply> </apply> <apply> <cos /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <sin /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <sin /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["Cot", "[", "z_", "]"]], "3"], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["3", " ", RowBox[List["Cos", "[", "z", "]"]]]], "+", RowBox[List["Cos", "[", RowBox[List["3", " ", "z"]], "]"]]]], RowBox[List[RowBox[List["3", " ", RowBox[List["Sin", "[", "z", "]"]]]], "-", RowBox[List["Sin", "[", RowBox[List["3", " ", "z"]], "]"]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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