# 2 cota

Input |
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2 cot(a) |

Alternate form assuming a is real |

-(2 sin(2 a))/(cos(2 a) – 1) |

Roots |

a = 1/2 (2 pi n + pi), n element Z |

Series expansion at a=0 |

2/a – (2 a)/3 – (2 a^3)/45 – (4 a^5)/945 + O(a^6) (Laurent series) |

Derivative |

d/da(2 cot(a)) = -2 csc^2(a) |

Indefinite integral |

integral 2 cot(a) da = 2 log(sin(a)) + constant |