# 2cotx

Input |
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2 cot(x) |

Alternate form assuming x is real |

-(2 sin(2 x))/(cos(2 x) – 1) |

Roots |

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

Series expansion at x=0 |

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

Derivative |

d/dx(2 cot(x)) = -2 csc^2(x) |

Indefinite integral |

integral 2 cot(x) dx = 2 log(sin(x)) + constant |