# Arctan(1/3)

Input |
---|

tan^(-1)(1/3) |

Exact Result |

tan^(-1)(1/3) (result in radians) |

Decimal approximation |

0.321750554396642193401404614358661319020755295557656191432… (result in radians) |

Conversion from radians to degrees |

18.43° |

Reference triangle for angle 0.3218 radians |

width | cos(tan^(-1)(1/3)) = 3/sqrt(10)~~0.948683 height | sin(tan^(-1)(1/3)) = 1/sqrt(10)~~0.316228 |

Continued fraction |

[0; 3, 9, 3, 1, 5, 1, 6, 3, 1, 2, 1, 3, 1, 1, 5, 1, 1, 2, 6, 2, 3, 1, 7, 5, 47, 1, 1, 1, 1, 57, …] |