GCSE Maths, Unit 24, Lesson 5 of 5
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The sine and cosine rules

GCSE Maths, Pythagoras and trigonometry, 25 minutes

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The sine rule, the cosine rule and area = ½ab sin C for triangles without a right angle, and how to choose between them.

Letters that face each other

Label the angles A, B, C and the sides opposite them a, b, c.

Side a faces angle A.

ABCcab

sine rule: a/sin A = b/sin B = c/sin C
cosine rule: a² = b² + c² − 2bc cos A
area = ½ab sin C

The rest of this lesson and its 8 practice questions are in Plus.

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  • 8 exam-style questions, marked as you go, each with a worked solution
  • Anything you get wrong is saved to your flashcards