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# Lambda Terms

### PreCalc Lambda Terms

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

Central angle | an angle whose vertex lies at the center of the circle |

Fact | if two central angles in different circles are congruent, the ratios of the lengths of their intercepted arcs is equal to the ratio of the measures of their radii |

Length of an arc | the length of circular arc s, is equal to the product of the measure of the radius of the circle r, and the radian measure of the central angle 0, that subtends s = r0 |

sector | a region in circle bounded by a central angle and its interrupted arc |

area of a circular sector | if 0 is the measure of the central angle expressed in radians and r is the measure of the radius of the circle, then the area of the sector A, is A = 1/2r^20 |

definition of sine | the y-coordinate of a point on the unit circle |

definition of cosine | the x-coordinate of a point on the unit circle |

circular function | a function defined using a unit circle |

sine and cosine functions of an angle in standard position | for any angle in standard position with measure 0, a point p(x,y) on its terminal side and r= the square root of x squared and y squared. sine= y/r cosine=x/r |

trigometric functions of an angle in standard position | sin0=y/r cos0=x/r tan0=y/x csc0=r/y sec0=r/x cot0=x/y tan0=sin0/cos0 csc0=1/sin0 sec0=1/cos0 cot0=1/tan0 |

solve a triangle | find all the measures of the sides and angles of a triangle |

apothem | in a regular polygon, this is a measure of a line segment from the center of a polygon to the midpoint of one of its sides |

angle of elevation | this angle starts at a horizontal line and elevates to the line of sight |

angle of depression | this angle starts at a horizontal line and depresses to the line of sight |

law of sines | let triangle abc be any triangle with a,b, and c representing the measures of the sides opposite the angles with measures a,b, and c respectively. a^2=b^2+c^2-2bc cosA |

Heros formula | K=the square root of s(s-a)(s-b)(s-c) |

segment of a circle | the region bounded by an arc and its chord |

area of a circular segment | S=1/2r^2 (a-sin a) |

Created by:
rroth