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# chapter 10 trig

### Chapter ten trig cards

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

SOH | Sin = Opposite Over Hypotenuse |

CAH | Cos = Adjacent Over Hypotenuse |

TOA | Tan = Opposite Over Adjacent |

Complements Theorem for all Theta between 0 and 90 degrees | Sin of theta = Cos (90 - theta) and Cos Theta (90 - Theta) |

Theorem ( Pythagrean Identity) | For all theta between 0 and 90, (cos of theta)Squared + (sin of theta) squared = 1 |

Sin 30 | sin 30 = cos 60= 1/2 |

law of cos | c squared = a squared + b squared - 2ab * cos C |

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

Define a sine wave | a graph wich can be mapped onto the graph of g(theta) = sin Theta by any composite of translations, scale changes, or reflections. |

supplements theroem | for all theta in degrees, sin theta = sin (180 - theta) |

Define angle of elevation | the angle between the horizontal and the observers line of sight. |

Define angle of depression | same as angle of elevation but all oppostie |

Sin 45 | sin 45 = cos 45 = (squareroot2)/2 |

Sin 60 | sin 60 = cos 30 = (squareroot3)/2 |

What is a unit circle | a circle with center at the origin and radius 1 unit |

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durkadurka6956