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GCSE Maths: Sine & Cosine Rule

Apply the sine rule and cosine rule in non-right-angled triangles. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.

GeometryFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on sine & cosine rule, and what each one is really asking.

Label non-right-angled triangles correctly
Choose between sine and cosine rules
Apply the sine rule to find sides and angles
Apply the cosine rule to find sides and angles
Calculate the area of any triangle using ½ab sinC

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Using SOHCAHTOA on non-right-angled triangles
  • Labeling the triangle wrong (side a must be OPPOSITE angle A)
  • Forgetting to square root at the end of the Cosine Rule for finding a side
  • Calculator error: calculating b²+c² and then subtracting 2bc before multiplying by cosA (BIDMAS error)

Sine & Cosine Rule questions students ask

Is Sine & Cosine Rule on the Foundation paper?

Yes. Sine & Cosine Rule appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Sine & Cosine Rule?

It builds on SOHCAHTOA and Solving equations and Calculator skills. If those feel shaky, practise them first — Sine & Cosine Rule questions assume them.

What is the most common mistake in Sine & Cosine Rule?

Using SOHCAHTOA on non-right-angled triangles.

Which exam boards cover Sine & Cosine Rule?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.