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Fungrim entry: 755655

sin ⁣(iz)=isinh ⁣(z)\sin\!\left(i z\right) = i \sinh\!\left(z\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\sin\!\left(i z\right) = i \sinh\!\left(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("755655"),
    Formula(Equal(Sin(Mul(ConstI, z)), Mul(ConstI, Sinh(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