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# Trig Exam 3

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

Addition Formulas | sin(x+y)= sinxcosy + cosxsiny sin(x-y)= sinxcosy - cosxsiny cos(x+y)= cosxcosy - sinxsiny cos(x-y)= cosxcosy + sinxsiny |

Double Angle Formulas | sin2x= 2sinxcosx cos2x= cos^2x - sin^2x = 1-2sin^2x = 2cos^2x - 1 tan2x= 2tanx/1-tanx = sin2x/cos2x |

Half Angle Formulas | sinx/2= sq. root (1-cosx/2) cosx/2= sq. root (1+cosx/2) tanx/2= sinx/1+cosx = sinx/2 / cosx/2 |

Domains of the Trig Functions | sin [-pi/2, pi/2] cos [0, pi] tan [-pi/2, pi/2] |

Ranges of the Trig Functions | sin [-1, 1] cos [-1, 1] tan (-infinity, infinity) |

Domains of the Inverse Trig Functions | sin [-1, 1] cos [-1, 1] tan (-infinity, infinity) |

Ranges of the Inverse Trig Functions | sin [-pi/2, pi/2] cos [0, pi] tan [-pi/2, pi/2] |

Law of Sines | sinA/a = sinB/b = sinC/c |

Law of Cosines | a^2 = b^2 + c^2 - 2bc(cosA) |

Area of triangle | 1/2 ab sinx |

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