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Fungrim entry: 9cc0f2

sin ⁣(πz)=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("9cc0f2"),
    Formula(Equal(Sin(Sub(ConstPi, z)), 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.

2019-08-21 11:44:15.926409 UTC