Trigonometry
Right-angled trigonometry and radians, angles of elevation and depression, sine and cosine rules, triangular area, and non-right-angled triangle problems.
Active lessons
6
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
6 of 6 active
Lesson 1
Trigonometry Revision
Activate Year 11 right-triangle skills: label hypotenuse, opposite and adjacent sides, apply Pythagoras' theorem, and use SOH CAH TOA — foundation for right-angled and non-right-angled trigonometry.
Lesson 2
Right-Angled Trigonometry and Radians
Convert between degrees and radians, apply SOH CAH TOA using radian angles, and solve practical right-triangle problems in both units.
Lesson 3
Angles of Elevation and Depression
Identify angles of elevation and depression, draw right-angled diagrams, and apply SOH CAH TOA to find heights and distances in practical contexts.
Lesson 4
Sine Rule, Cosine Rule and Area of a Triangle
Apply sine rule, cosine rule, and the triangular area formula to practical distance and land-area problems.
Lesson 5
Non-Right-Angled Trigonometry
Choose sine rule or cosine rule for practical non-right-angled triangle problems in surveying and navigation contexts.
Lesson 6
The Ambiguous Case of the Sine Rule
Recognise when SSA information produces one or two valid triangles, compute both possible angles using B₂ = 180° − B₁, and test validity with A + B < 180°.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.