Mathematics AA HL

Topic 3 – Geometry and Trigonometry

Basic Trigonometry

  • Right Angled Triangles
  • Basic Trig Graphs
  • Area Formula
  • Sine Rule
  • Cosine Rule
Right Angled Triangles
Basic Trig Graphs
Area Formula
Sine Rule
Cosine Rule

Radian and Unit Circle

  • Radian Measure
  • Unit Circle and Exact Trigonometry
Radian Measure
Unit Circle and Exact Trigonometry

Trigonometric Formulae

  • Compound Angles
  • Double Angles
  • Reciprocal Angles
  • Inverse Angles
  • Pythagorean Identities 
Compound Angles
Double Angles
Reciprocal Angles
Inverse Angles
Pythagorean Identities 

Trigonometric Graphs

  • Transformations
  • Modelling
Transformations
Modelling

Complex Numbers

  • Modulus and Argument
  • De. Moivre and Roots
Modulus and Argument
De. Moivre and Roots

Vector Geometry

  • Key Terms
  • Geometry
  • Displacement
Key Terms
Geometry
Displacement

Vector Lines

  • 3d Vectors
  • Angles between Vectors
  • Line Equations in 3d
  • Intersecting Lines
3d Vectors
Angles between Vectors
Line Equations in 3d
Intersecting Lines

The Cross Product

  • Definition
  • Area Applications
Definition
Area Applications

Vector Planes

  • Equations of Planes
  • Intersecting Planes
Equations of Planes
Intersecting Planes

Shortest Distance

  • Shortest Distance Problems
Shortest Distance Problems