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# Triangle Trig

### Triangle Trigonometry formulas and theorems

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

sine of an angle in a right triangle | opposite / hypotenuse |

cosine of an angle in a right triangle | adjacent / hypotenuse |

tangent of an angle in a right triangle | opposite / adjacent |

To convert degrees to radians multiply by ___ | pi / 180 |

To convert radians to degrees multiple by ___ | 180 / pi |

Length of a circular arc | radius * central angle |

Area of a circular sector | A = (1/2)r^2*central angle |

csc of an angle in a right triangle | hypotenuse / opposite |

sec of an angle in a right triangle | hypotenuse / adjacent |

cot of an angle in a right triangle | adjacent / opposite |

Area of a non right triangle | (1/2)a*b*sinC |

The Law of Sines | (sin A)/a = (sin B)/b = (sin C)/c |

The Ambiguous Case | SSA |

The Law of Cosines (side length a) | a^2 = b^2 + c^2 - 2bc cos A |

The Law of Cosines (Angle A) | Cos A = (b^2 + c^2 - a^2) / (2bc) |

Heron's Formula for area of a triangle | square root (s(s-a)(s-b)(s-c)) |

Created by:
saxmank