# Arcsin of 5

Input |
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sin^(-1)(5) |

Decimal approximation |

1.57079632679489661923132169163975144209858469968755291048… – 2.29243166956117768780078731134801543162186824001571024760… i (result in radians) |

Property |

sin^(-1)(5) is a transcendental number |

Polar coordinates |

r~~2.77896 (radius), theta~~-55.5807° (angle) |

Continued fraction |

[2 – 2i; -2 + i, 2, 1 + i, -3i, -2 – 3i, 2 – i, -1 – 2i, 3 + i, 5 + 2i, 5 +, …] (using the Hurwitz expansion) |

Integral representation |

sin^(-1)(5) = 5 integral_0^1 1/sqrt(1 – 25 t^2) dt |