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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
    8 主题
  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
    3 主题
  7. Tree-Diagrams- Wjec-Eduqas Higher
    1 主题
  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
    3 主题
  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    1 主题
  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    4 主题
  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
    1 主题
  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
    5 主题
  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
    3 主题
  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
    2 主题
  19. Area-And-Perimeter- Wjec-Eduqas Higher
    4 主题
  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
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  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
    3 主题
  23. Symmetry-And-Shapes Wjec-Eduqas Higher
    6 主题
  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
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  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
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  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
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  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
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  28. Ratios Wjec-Eduqas Higher
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  29. Sequences Wjec-Eduqas Higher
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  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
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  31. Graphing-Inequalities- Wjec-Eduqas Higher
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  32. Solving-Inequalities- Wjec-Eduqas Higher
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  33. Real-Life-Graphs Wjec-Eduqas Higher
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  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
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  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
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  36. Graphs-Of-Functions Wjec-Eduqas Higher
    6 主题
  37. Linear-Graphs Wjec-Eduqas Higher
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  38. Quadratic-Equations Wjec-Eduqas Higher
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  39. Linear-Equations- Wjec-Eduqas Higher
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  40. Algebraic-Proof Wjec-Eduqas Higher
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  41. Rearranging-Formulae Wjec-Eduqas Higher
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  42. Coordinate-Geometry- Wjec-Eduqas Higher
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  43. Functions Wjec-Eduqas Higher
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  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
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  45. Iteration Wjec-Eduqas Higher
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  46. Simultaneous-Equations Wjec-Eduqas Higher
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  47. Algebraic-Fractions- Wjec-Eduqas Higher
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  48. Completing-The-Square Wjec-Eduqas Higher
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  49. Factorising Wjec-Eduqas Higher
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  50. Expanding-Brackets Wjec-Eduqas Higher
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  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
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  52. Introduction-To-Algebra Wjec-Eduqas Higher
    4 主题
  53. Using-A-Calculator Wjec-Eduqas Higher
    1 主题
  54. Surds Wjec-Eduqas Higher
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  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
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  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
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  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
    4 主题
  58. Percentages Wjec-Eduqas Higher
    3 主题
  59. Fractions Wjec-Eduqas Higher
    4 主题
  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
    4 主题
  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
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  62. Number-Operations Wjec-Eduqas Higher
    10 主题
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Exam code:C300

Sine rule

What is the sine rule?

  • The sine rule is used in non right-angled triangles

    • It allows us to find missing side lengths or angles

  • It states that for any triangle with angles A, B and C

fraction numerator a over denominator sin space A end fraction equals fraction numerator b over denominator sin space B end fraction equals fraction numerator c over denominator sin space C end fraction

  • Where

    • a is the side opposite angle A

    • b is the side opposite angle B

    • c is the side opposite angle C

Non Right-Angled Triangle labelled with angles A, B and C and opposite corresponding sides a, b and c.

How do I use the sine rule to find missing lengths?

  • Use the sine rule

    • when you have opposite pairs of sides and angles in the question

      • a and A, or b and B, or c and C

  • Start by labelling your triangle with the angles and sides

    • Angles have upper case letters

    • Sides opposite the angles have the equivalent lower case letter

  • To find a missing length, substitute numbers into the formula

    fraction numerator a over denominator sin space A end fraction equals fraction numerator b over denominator sin space B end fraction equals fraction numerator c over denominator sin space C end fraction

    • You only need to have two parts equal to each other (not all three)

      • Then solve to find the side you need

How do I use the sine rule to find missing angles?

  • To find a missing angle, it is easier to rearrange the formula first by flipping each part

    <img alt=”fraction numerator sin space A blank over denominator a end fraction equals blank fraction numerator sin space B blank over denominator b end fraction equals blank fraction numerator sin space C blank over denominator c end fraction” data-mathml='<math ><semantics><mrow><mfrac><mrow><mi>sin</mi><mo> </mo><mi>A</mi><mi> </mi></mrow><mi>a</mi></mfrac><mo>=</mo><mi> </mi><mfrac><mrow><mi>sin</mi><mo> </mo><mi>B</mi><mi> </mi></mrow><mi>b</mi></mfrac><mo>=</mo><mi> </mi><mfrac><mrow><mi>sin</mi><mo> </mo><mi>C</mi><mi> </mi></mrow><mi>c</mi></mfrac></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″}</annotation></semantics></math>’ height=”47″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2247%22%20width%3D%22196%22%20wrs%3Abaseline%3D%2230%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Esin%3C%2Fmi%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3E%26%23xA0%3B%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3E%26%23xA0%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Esin%3C%2Fmi%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3E%26%23xA0%3B%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmi%3Eb%3C%2Fmi%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3E%2

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