# 1-tanx

Input |
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1 – tan(x) |

Alternate form assuming x is real |

1 – (sin(2 x))/(cos(2 x) + 1) |

Roots |

x = 1/4 (4 pi n + pi), n element Z |

Series expansion at x=0 |

1 – x – x^3/3 – (2 x^5)/15 + O(x^6) (Taylor series) |

Derivative |

d/dx(1 – tan(x)) = -sec^2(x) |

Indefinite integral |

integral (1 – tan(x)) dx = x + log(cos(x)) + constant |