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Cosine Rule Worksheet

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Help your students prepare for their Maths GCSE with this free cosine rule worksheet of 39 questions and answers

  • Section 1 of the cosine worksheet contains 36 skills-based sine and cosine rule questions, in 4 groups to support differentiation
  • Section 2 contains 3 applied sine and cosine rule questions with a mix of worded problems, deeper problem solving questions and GCSE higher level exam style questions
  • Answers and a mark scheme for all questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

Download your free resource today

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  • This field is for validation purposes and should be left unchanged.

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Cosine rule at a glance

 

The cosine rule is a relationship between the three sides of a triangle and one of its angles. The cosine rule states that a²=b²+c²-2bc cos(A) where a, b and c are the lengths of the sides of the triangle and A is the angle opposite side a. 

 

The cosine rule can be used to work out missing side lengths and missing angles in non right-angled triangles. 

 

To find a missing side or angle we substitute the values we know into the cosine rule and then solve the equation to find the missing length or side. When working out a missing angle we will need to use the inverse trigonometric function cos-1.

 

When working with the cosine rule, it is important not to round your answers too early in your calculation and to pay attention to the required number of significant figures or decimal places for your answer. 

 

 Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes worksheet or an area of a triangle worksheet.

 

 

For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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