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# Trig Identities

### Trig Identities Needed for Calculus

Question | Answer |
---|---|

tan x | sin x / cos x |

sec x | 1 / cos x |

csc x | 1 / sin x |

cot x | cos x / sin x |

sin^2 x + cos^2 x | 1 |

1 + tan^2 x | sec^2 x |

sin(x+y) | sin x cos y + cos x sin y |

sin(x-y) | sin x cos y - cos x sin y |

cos(x+y) | cos x cos y - sin x sin y |

cos(x-y) | cos x cos y + sin x sin y |

sin(2x) | 2sin x cos x |

cos(2x) | cos^2 x - sin^2 x |

sin^2 x | (1 - cos (2x))/2 |

cos^2 x | (1 + cos (2x))/2 |

cot x | 1 / tan x |

cos(2x) | 2cos^2 x - 1 |

cos(2x) | 1 - 2 sin^2 x |

Created by:
mgross144