Fungrim entry: d38739

\sin\!\left(x\right) \ge \frac{x \left(\pi - x\right)}{\pi}

Assumptions:

x \in \left[0, \pi\right]

TeX:

\sin\!\left(x\right) \ge \frac{x \left(\pi - x\right)}{\pi}

x \in \left[0, \pi\right]

Definitions:

Fungrim symbol	Notation	Short description
`Sin`	$\sin\!\left(z\right)$	Sine
`ConstPi`	$\pi$	The constant pi (3.14...)
`ClosedInterval`	$\left[a, b\right]$	Closed interval

Source code for this entry:

Entry(ID("d38739"),
    Formula(GreaterEqual(Sin(x), Div(Mul(x, Sub(ConstPi, x)), ConstPi))),
    Variables(x),
    Assumptions(Element(x, ClosedInterval(0, ConstPi))))

Topics using this entry

Sine

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

2019-06-18 07:49:59.356594 UTC