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Fungrim entry: 77e519

atan2 ⁣(y,0)=π2sgn(y)\operatorname{atan2}\!\left(y, 0\right) = \frac{\pi}{2} \operatorname{sgn}(y)
Assumptions:yRy \in \mathbb{R}
TeX:
\operatorname{atan2}\!\left(y, 0\right) = \frac{\pi}{2} \operatorname{sgn}(y)

y \in \mathbb{R}
Definitions:
Fungrim symbol Notation Short description
Atan2atan2 ⁣(y,x)\operatorname{atan2}\!\left(y, x\right) Two-argument inverse tangent
Piπ\pi The constant pi (3.14...)
Signsgn(z)\operatorname{sgn}(z) Sign function
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("77e519"),
    Formula(Equal(Atan2(y, 0), Mul(Div(Pi, 2), Sign(y)))),
    Variables(y),
    Assumptions(Element(y, RR)))

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2020-01-31 18:09:28.494564 UTC