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Fungrim entry: 0ee626

atan⁡ ⁣(−z)=−atan⁡ ⁣(z)\operatorname{atan}\!\left(-z\right) = -\operatorname{atan}\!\left(z\right)
Assumptions:z∈C∪{−∞,∞}z \in \mathbb{C} \cup \left\{-\infty, \infty\right\}
TeX:
\operatorname{atan}\!\left(-z\right) = -\operatorname{atan}\!\left(z\right)

z \in \mathbb{C} \cup \left\{-\infty, \infty\right\}
Definitions:
Fungrim symbol Notation Short description
Atanatan⁡ ⁣(z)\operatorname{atan}\!\left(z\right) Inverse tangent
CCC\mathbb{C} Complex numbers
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("0ee626"),
    Formula(Equal(Atan(Neg(z)), Neg(Atan(z)))),
    Variables(z),
    Assumptions(Element(z, Union(CC, Set(Neg(Infinity), Infinity)))))

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2019-06-18 07:49:59.356594 UTC