# C tn

Input |
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c tan(x) |

Alternate form assuming c and x are real |

(c sin(2 x))/(cos(2 x) + 1) |

Root |

cos(x)!=0, c = 0 |

Roots |

x = pi n, n element Z |

Integer root |

c = 0, pi n – (3 pi)/2 |

Root for the variable x |

x = pi c_1 |

Series expansion at x=0 |

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

Derivative |

(d)/(dx)(c tan(x)) = c sec^2(x) |

Indefinite integral |

integral c tan(x) dx = -c log(cos(x)) + constant |