MathsYears 12–13Trigonometry

Compound and double angle formulae

Apply addition formulae, double angle formulae and the R-formula to solve equations and prove identities

What you'll learn

  1. 1

    Imagine you have a superhero identity that's a combination of two smaller heroes — compound angle formulae are like that for sine, cosine and tangent!

  2. 2

    Here's how sin(45° + 30°) works — we use the formula instead of adding the angles first.

  3. 3

    Let's find sin(75°) using the compound angle formula.

  4. 4

    What is the formula for sin(A + B)?

  5. 5

    Drag the angle values to complete sin(60° + 45°) using the formula.

  6. 6

    If you know sin30° = ½ and cos30° = √3/2, what is sin(30° + 30°)?

  7. 7

    Now try cos(2A) — the double angle formula!

Practise Compound and double angle formulae with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.