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# Math 108- Spring 13

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

Degrees to Radians | piRAD/ 180 DEG |

Linear velocity | LV=AVxR |

Arc Length | S= Rx @ |

Angular Velocity | ^D/^T |

Period (Sin waves) | 2pi/B |

Phase Shift (Sin waves) | C/B |

Frequency (Sin waves) | 1/period |

Sinusoid Equation | y=D+Asin(Bx-C) |

Vertical Displacement | D |

Amplitude | A |

tan | opposite/adjacent |

sin | opposite/hypotenuse |

cos | adjacent/hypotenuse |

cot | 1/tan |

csc | 1/sin |

sec | 1/cos |

tan(60) | rt3 |

cos(60) | 1/2 |

sin(60) | rt3/2 |

tan(45) | 1 |

sin(45) | rt2/2 |

cos(45) | rt2/2 |

tan(30) | 1/rt3 |

sin(30) | 1/2 |

cos(30) | rt3/2 |

Law of Sines | sinA/a=sinB/b=sinC/c |

Ambiguous case | ASS, 0, 1, 2 triangles |

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

sin@^2+cos@^2= | 1 |

-tan@= | tan(-@) |

-cot@= | cot(-@) |

-sin@= | sin(-@) |

-csc@= | csc(-@) |

cos@= | cos(-@) |

sec@= | sec(-@) |

cos(A-B)= | cosAcosB+sinAsinB |

cos(A+B)= | cosAcosB-sinAsinB |

sin(A+B)= | sinAcosB+cosAsinB |

sin(A-B)= | sinAcosB-cosAsinB |

tan(A+B)= | tanA+tanB/1-tanAtanB |

tan(A-B)= | tanA-tanB/1+tanAtanB |

sin(2@)= | 2sin@cos@ |

cos(2@)= | cos^2@-sin^2@ or 2cos^2@-1 or 1-sin^2@ |

tan(2@)= | 2tan@/1-tan^2@ |

cos(@/2)= | rt(1+cos@/2) |

sin(@/2)= | rt(1-cos@/2) |

tan(@/2)= | rt(1-cos@/1+cos@) or 1-cos@/sin@ or sin@/1+cos@ |

tan@= | sin@/cos@ |

x-component (Vector) | xcos@ |

y-component (Vector) | ysin@ |

Created by:
ltbailey