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http://functions.wolfram.com/01.09.16.0054.01
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Cot[z - Pi/3] Cot[Pi/3 + z] + Cot[z - Pi/3] Cot[z] + Cot[z] Cot[Pi/3 + z] ==
-3
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List["Cot", "[", RowBox[List["z", "-", FractionBox["\[Pi]", "3"]]], "]"]], " ", RowBox[List["Cot", "[", RowBox[List[FractionBox["\[Pi]", "3"], "+", "z"]], "]"]]]], "+", RowBox[List[RowBox[List["Cot", "[", RowBox[List["z", "-", FractionBox["\[Pi]", "3"]]], "]"]], " ", RowBox[List["Cot", "[", "z", "]"]]]], "+", RowBox[List[RowBox[List["Cot", "[", "z", "]"]], " ", RowBox[List["Cot", "[", RowBox[List[FractionBox["\[Pi]", "3"], "+", "z"]], "]"]]]]]], "\[Equal]", RowBox[List["-", "3"]]]]]]
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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> <mrow> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> - </mo> <mfrac> <mi> π </mi> <mn> 3 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mfrac> <mi> π </mi> <mn> 3 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> - </mo> <mfrac> <mi> π </mi> <mn> 3 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cot </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mfrac> <mi> π </mi> <mn> 3 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ⩵ </mo> <mrow> <mo> - </mo> <mn> 3 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <plus /> <apply> <times /> <apply> <cot /> <apply> <plus /> <ci> z </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <cot /> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <cot /> <apply> <plus /> <ci> z </ci> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <cot /> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <cot /> <apply> <plus /> <ci> z </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <cot /> <apply> <plus /> <ci> z </ci> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> <cn type='integer'> -3 </cn> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[RowBox[List["Cot", "[", RowBox[List["z_", "-", FractionBox["\[Pi]", "3"]]], "]"]], " ", RowBox[List["Cot", "[", RowBox[List[FractionBox["\[Pi]", "3"], "+", "z_"]], "]"]]]], "+", RowBox[List[RowBox[List["Cot", "[", RowBox[List["z_", "-", FractionBox["\[Pi]", "3"]]], "]"]], " ", RowBox[List["Cot", "[", "z_", "]"]]]], "+", RowBox[List[RowBox[List["Cot", "[", "z_", "]"]], " ", RowBox[List["Cot", "[", RowBox[List[FractionBox["\[Pi]", "3"], "+", "z_"]], "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", "3"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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