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# Chp 8 Math Vocab

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

Geometric mean | between two numbers is the positive square root of there product |

Pythagorean triple | a set of 3 non zero whole numbers a,d,c as in a2 + b2=c2 |

trigonometry | the study of the properties of triangle and trigonmic functions and their applications |

trigonometric ratio | a ratio of the lengths of sides of a right triangle |

sin | ratio of the opposite leg from |

cosine | ratio of adjacent leg of |

Tangent | ratio of opposite leg of |

Cosecant | recipricol of sin so C over A |

secant | recipricol of cosine so C over B |

cotangent | recipricol of tangent so B over A |

angle of elevation | the angle formed by a horizontal line and an observers line of sight to an object above the horizontal line |

angle of depression | is the angle formed by a horizontal line and an object below the horizontal line |

Law of Sines | can be used to find missing measures in a non right triangle |

Law od Cosines | to solve a triangle if you know the measures of two sides and the included angle (SAS) |

vector | a quantity that has both magnitude and direction |

Magnitude | is the length of the vector from initial point to its terminal point |

direction | is the angle madde with the position x-axis, or any other horizontal line |

standard position | when it has it intial point at the origin |

component form | described in terms of its horizontal change x and vertical change y from its intial point to its terminal point |

Geometric Mean (Altiude) Thm | the altitude the separates the hypo into two different sections and the geometric mean between lengths tree |

geometric mean (leg) thm | the altitude seprates the hypo into two parts and legs can be found by the geometric mean of the length of the hypo and the segment of the hypo adjacent to that leg |

Pythag thm | in a right triangle the sum of the squares of the legs is equal to the squared length of the hypo |

converse of pythag | if the sum t=of the two legs equal the hypo squared its a right triangle |

45, -45, -90 | in a 45, -45, 90 triangle the legs are congruent and the length of the hypo is 2 square root of length of a leg |

30, -60, -90, | the length of the hypo is 2 times the length of the shortest leg and the longest leg it 3 square root times the length of the shortest |

law of sines thm | If triangle has lengths abc represent the lengths of the sides opposite of angles sin A over a sin B over b din C over c |

Law of cosines thm | a2 = b2+c2-2bc cos A b2= a2+c2 -2ac cos B c2= a2+b2 - 2ab cos C |

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BB2424