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Fungrim entry: 77e519

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

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

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2019-09-16 21:17:18.797188 UTC