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 Tan

 http://functions.wolfram.com/01.08.04.0005.01

 Input Form

 Singularities[Tan[z], z] == {SequenceList[{Pi/2 + Pi k, 1}, Element[k, Integers]], {ComplexInfinity, Infinity}}

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Singularities", "[", RowBox[List[RowBox[List["Tan", "[", "z", "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List[RowBox[List["SequenceList", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["\[Pi]", " ", "k"]]]], ",", "1"]], "}"]], ",", RowBox[List["k", "\[Element]", "Integers"]]]], "]"]], ",", RowBox[List["{", RowBox[List["ComplexInfinity", ",", "\[Infinity]"]], "}"]]]], "}"]]]]]]

 MathML Form

 𝒮𝒾𝓃ℊ z ( tan ( z ) ) { { { π 2 + π k , 1 } /; k } , { ~ , } } Subscript 𝒮𝒾𝓃ℊ z z Condition 2 -1 k 1 k OverTilde [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Singularities", "[", RowBox[List[RowBox[List["Tan", "[", "z_", "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", RowBox[List[RowBox[List["SequenceList", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["\[Pi]", " ", "k"]]]], ",", "1"]], "}"]], ",", RowBox[List["k", "\[Element]", "Integers"]]]], "]"]], ",", RowBox[List["{", RowBox[List["ComplexInfinity", ",", "\[Infinity]"]], "}"]]]], "}"]]]]]]

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

 2001-10-29