# HL AA – Trigonometry

## Right Angled Trig

## Radians

## Transformations

## Compound Identites

## Non Right Angled

## Unit Circle and ratios

## Reciprocal Trig

## Trig Equations

## 3d Shapes

## Double Angles

## Inverse Trig

## Trig Review

## Traffic Light Coding for Unit

Make your own copy and share with your students.

##### Learning Outcomes

Trigonometric ratios in a right angled triangle. SOHCAHTOA. |

Sine, cosine rules in non-right angled triangles; ambiguous case of the sine rule. |

Area of a triangle ½absinC. |

Using SOHCAHTOA with 3d shapes, including pyramids, cones, spheres, and combinations of these. |

Using trigonometry in problem solving (Pythagoras’, elevation and depression). |

Radian and degree measure conversion. |

Using radian measure, length of an arc and area of a sector. |

Unit circle and Pythagorean identities, sin2x+cos2x=1, tanx=sinx/cosx. |

Exact trig ratios for 2pi, pi, pi/2, pi/3, pi/4 and pi/6 and multiples of these. |

Double angle identities for sine and cosine. |

Circular functions and their periodic nature. |

Trig graphs and the transformation of trig graphs. |

Real life trigonometric graphs and modelling. |

Solving trigonometric equations with and without a GDC. |

Quadratic equations with trigonometric equations. |

Reciprocal trigonometric ratios, secx, cosecx, and cotx, and their Pythagorean identities. |

Inverse trigonometric functions, e.g. arcsinx. |

Compound angle identities. |

Double angle identity for tan. |

Symmetry of trigonometric identities |