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Fungrim entry: 1721bf

sin(z)sinh ⁣(z)\left|\sin(z)\right| \le \sinh\!\left(\left|z\right|\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\left|\sin(z)\right| \le \sinh\!\left(\left|z\right|\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Sinsin(z)\sin(z) Sine
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("1721bf"),
    Formula(LessEqual(Abs(Sin(z)), Sinh(Abs(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.

2019-11-19 15:10:20.037976 UTC