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Fungrim entry: 1c22f1

sin⁡ ⁣(π+z)=−sin⁡(z)\sin\!\left(\pi + z\right) = -\sin(z)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\sin\!\left(\pi + z\right) = -\sin(z)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sinsin⁡(z)\sin(z) Sine
Piπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("1c22f1"),
    Formula(Equal(Sin(Add(Pi, z)), Neg(Sin(z)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC