Fungrim entry: f3a901

\left|\sin\!\left(x + y\right) - \sin(x)\right| \le 2

Assumptions:

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}

TeX:

\left|\sin\!\left(x + y\right) - \sin(x)\right| \le 2

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}

Definitions:

Fungrim symbol	Notation	Short description
`Abs`	$\left\|z\right\|$	Absolute value
`Sin`	$\sin(z)$	Sine
`RR`	$\mathbb{R}$	Real numbers

Source code for this entry:

Entry(ID("f3a901"),
    Formula(LessEqual(Abs(Sub(Sin(Add(x, y)), Sin(x))), 2)),
    Variables(x, y),
    Assumptions(And(Element(x, RR), Element(y, RR))))

Topics using this entry

Sine

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

2021-03-15 19:12:00.328586 UTC