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Fungrim entry: 1c22f1

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

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

Topics using this entry

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

2019-08-25 15:30:03.056001 UTC