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# WITZ PC chapter 6

### PreCalculus chapter 6 formulas

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

convert from degrees to radians | π/180 |

convert from radians to degrees | 180/π |

area of a sector | A = 1/2 r^2 θ |

angular velocity | w = θ/t |

linear velocity | V = rθ/t |

sinθ y-intercept | 0 |

cosθ y-intercept | 1 |

sinθ x-intercepts | nπ where n is an integer |

cosθ x-intercepts | π/2 + nπ where n is an integer |

period of sinθ | 2pi |

period of cosθ | 2pi |

domain of sinθ | all real numbers |

domain of cosθ | all real numbers |

range of sinθ | -1<y<1 |

range of cosθ | -1<y<1 |

maximums for sinθ | π/2 + 2πn where n is an integer |

minimums for sinθ | 3π/2 + 2πn where n is an integer |

maximums for cosθ | πn where n is an even integer |

minimums for cosθ | πn where n is an odd integer |

period of y = Asinkθ and y = Acoskθ | 2π/k where k>0 |

amplitude of y = Asinkθ and y = Acoskθ | |A| |

phase shift y = Asin(kθ + c) | -c/k |

phase shift direction | c>0 shifts left, c<0 shifts right |

asymptotes of tanθ | (π/2)*n where n is an odd integer |

period of tanθ | π |

Created by:
misswitz