# Jordan’s inequality

*Jordan’s Inequality ^{}* states that

$$\frac{2}{\pi}x\le \mathrm{sin}(x)\le x$$ |

for all $x\in [0,\frac{\pi}{2}]$.

Title | Jordan’s inequality |
---|---|

Canonical name | JordansInequality |

Date of creation | 2013-03-22 11:42:29 |

Last modified on | 2013-03-22 11:42:29 |

Owner | Koro (127) |

Last modified by | Koro (127) |

Numerical id | 25 |

Author | Koro (127) |

Entry type | Theorem |

Classification | msc 00A99 |

Classification | msc 26D05 |

Related topic | ComparisonOfSinThetaAndThetaNearTheta0 |