# terminal ray

Let an angle whose in radians is $\theta $ be placed the Cartesian plane such that one of its rays ${R}_{1}$ corresponds to the nonnegative $x$ axis and one can go from the point $(1,0)$ to the point that is the intersection^{} of the other ray ${R}_{2}$ of the angle with the circle ${x}^{2}+{y}^{2}=1$ by traveling exactly $\theta $ units on the circle. (If $\theta $ is positive, the distance should be traveled counterclockwise; otherwise, the distance $|\theta |$ should be traveled clockwise. Also, note that “other ray” is used quite loosely, as it may also correspond to the nonnegative $x$ axis also.) Then ${R}_{2}$ is the *terminal ray* of the angle.

The picture below shows the terminal ray ${R}_{2}$ of the angle $\theta ={\displaystyle \frac{2\pi}{3}}$.

Title | terminal ray |
---|---|

Canonical name | TerminalRay |

Date of creation | 2013-03-22 16:06:11 |

Last modified on | 2013-03-22 16:06:11 |

Owner | Wkbj79 (1863) |

Last modified by | Wkbj79 (1863) |

Numerical id | 12 |

Author | Wkbj79 (1863) |

Entry type | Definition |

Classification | msc 51-01 |

Related topic | Trigonometry^{} |

Related topic | CyclometricFunctions |