Course: Year 12 Mathematics Advanced

Further Trigonometry

A HSC-focused unit for compound angle formulas, double angle formulas, exact values, identity simplification and further trigonometric equation work.

Active lessons

5

Planned lessons

5

Lesson sequence

Learn -> Guided Practice -> Independent Practice -> Mastery Quiz

How to use this unit

  • Review exact values and quadrant signs before starting.
  • Focus on choosing the identity before simplifying.
  • Use multiple-choice options to compare signs and forms.
  • Finish with the mixed exam practice lesson.

What this unit covers

Compound angle formulas
Exact values from compound angles
Double angle formulas
Identity simplification
Further trigonometric equations
Mixed HSC-style practice

Unit pathway

Lesson pathway

5 of 5 active

1

Lesson 1

Compound Angle Formulas

Use compound angle identities for sine, cosine and tangent, with careful attention to signs and denominator restrictions.

Active
2

Lesson 2

Exact Values with Compound Angles

Evaluate exact trigonometric values for non-standard angles by expressing them as sums or differences of known angles.

Active
3

Lesson 3

Double Angle Formulas

Use sine, cosine and tangent double-angle identities, including equivalent cosine forms and denominator restrictions.

Active
4

Lesson 4

Further Trigonometry Equations and Identities

Use compound and double-angle identities to simplify expressions and solve selected trigonometric equations.

Active
5