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# Triginometry

Term | Definition |
---|---|

radins | A unit for measuring angles. 180° = π radians, and 360° = 2π radians. The number of radians in an angle equals the number of radii it takes to measure a circular arc described by that angle. |

degrees | A unit of angle measure equal to of a complete revolution. There are 360 degrees in a circle. Degrees are indicated by the ° symbol, so 35° means 35 degrees. |

co-terminal angle | Coterminal Angles Angles which, drawn in standard position, share a terminal side. For example, 60°, -300°, and 780° are all coterminal. |

quadrantal angle | An angle with terminal side on the x-axis or y-axis. That is, the angles 0°, 90°, 180°, 270°, 360°, 450°, ... as well as –90°, –180°, –270°, –360°, ... |

unit circle | The circle with radius 1 which is centered at the origin on the x-y plane. |

reference angle | For any given angle, its reference angle is an acute version of that angle. In standard position, the reference angle is the smallest angle between the terminal side and the x-axis. The values of the trig functions of angle θ are the same as the trig valu |

sine | The trig function sine, written sin θ. For acute angles, sin θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. Finally, f(x) = sin x is a periodic func |

cosine | The trig function cosine, which is written cos θ. For acute angles, cos θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = cos x is a periodic func |

tangent | he trig function tangent, written tan θ. tan θ equals . For acute angles, tan θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = tan x is a perio |

cosecant | The trig function cosecant, written csc θ. csc θ equals . For acute angles, csc θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = csc x is a perio |

secant | The trig function secant, written sec θ. sec θ equals . For acute angles, sec θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = sec x is a perio |

cotangent | The trig function cotangent, written cot θ. cot θ equals or . For acute angles, cot θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = cot x is a |

inverse | The quantity which cancels out the a given quantity. There are different kinds of inverses for different operations. |

arcasin | the inverse function of the sine; the angle that has a sine equal to a given number |

arccos | the inverse function of the cosine; the angle that has a cosine equal to a given number |

arctan | the inverse function of the tangent; the angle that has a tangent equal to a given number |

law of sines | Equations relating the sines of the interior angles of a triangle and the corresponding opposite sides. |

law of cosines | An equation relating the cosine of an interior angle and the lengths of the sides of a triangle. |

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SarahLiz87