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
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
Here's how sin(45° + 30°) works — we use the formula instead of adding the angles first.
- 3
Let's find sin(75°) using the compound angle formula.
- 4
What is the formula for sin(A + B)?
- 5
Drag the angle values to complete sin(60° + 45°) using the formula.
- 6
If you know sin30° = ½ and cos30° = √3/2, what is sin(30° + 30°)?
- 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.