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Fungrim entry: d38739

sin ⁣(x)x(πx)π\sin\!\left(x\right) \ge \frac{x \left(\pi - x\right)}{\pi}
Assumptions:x[0,π]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
Sinsin ⁣(z)\sin\!\left(z\right) Sine
ConstPiπ\pi The constant pi (3.14...)
ClosedInterval[a,b]\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))))

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2019-08-21 11:44:15.926409 UTC