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Sine Rule Worksheet

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

  • Section 1 of the sine rule worksheet contains 36 skills-based sine rule questions, in 4 groups to support differentiation
  • Section 2 contains 3 applied sine rule questions with a mix of worded problems and deeper problem solving questions
  • Answers and a mark scheme for all sine rule questions are provided and include higher maths questions based on past papers, exam questions and assessments
  • 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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Sine rule at a glance

 

The sine rule is a relationship between the sides of a triangle and the angles opposite them. The sine rule states that ‘’a/sin(A) = b/sin(B) = c/sin(C)’’ where a, b and c are the lengths of the sides and A, B and C are the angles opposite them. 

 

The sine rule is a relationship between the sides of a triangle and the angles opposite them. The sine rule states that ‘’a/sin(A) = b/sin(B) = c/sin(C)’’ where a, b and c are the lengths of the sides and A, B and C are the angles opposite them. 

 

The sine rule can be used to calculate missing sides and missing angles in non right-angled triangles. The sine rule is used when one angle – side pair is known along with one other angle or side. The opposite side or angle can then be worked out. Although the sine rule states three relationships between the sides and their opposite angles, we only need to use two of them at a time.

 

When finding a missing side length, we can substitute the information we know about other angles and sides into the sine rule and then solve the equation to find the side length. When working out the size of the angle, solving the equation will involve using the inverse trigonometric function.

 

When working with the sine 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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