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Fungrim entry: cfc5c3

sin ⁣(z)=isinh ⁣(iz)\sin\!\left(z\right) = -i \sinh\!\left(i z\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\sin\!\left(z\right) = -i \sinh\!\left(i z\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sinsin ⁣(z)\sin\!\left(z\right) Sine
ConstIii Imaginary unit
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("cfc5c3"),
    Formula(Equal(Sin(z), Mul(Neg(ConstI), Sinh(Mul(ConstI, 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.

2019-08-21 11:44:15.926409 UTC