Sec[Pi/12] == Sqrt[6] - Sqrt[2]

Cell[BoxData[RowBox[List[RowBox[List["Sec", "[", FractionBox["\[Pi]", "12"], "]"]], "\[Equal]", RowBox[List[SqrtBox["6"], "-", " ", SqrtBox["2"]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> sec </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <mi> &#960; </mi> <mn> 12 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msqrt> <mn> 6 </mn> </msqrt> <mo> - </mo> <mtext> </mtext> <msqrt> <mn> 2 </mn> </msqrt> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <sec /> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 12 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <power /> <cn type='integer'> 6 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sec", "[", FractionBox["\[Pi]", "12"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox["6"], "-", SqrtBox["2"]]]]]]]

2001-10-29