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Maths Gcse Edexcel Foundation

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  1. Scatter-Graphs-And-Correlation Edexcel Foundation
    2 主题
  2. Statistical-Diagrams Edexcel Foundation
    8 主题
  3. Statistics-Toolkit Edexcel Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Edexcel Foundation
    2 主题
  5. Simple-Probability-Diagrams Edexcel Foundation
    4 主题
  6. Probability-Toolkit Edexcel Foundation
    3 主题
  7. Transformations Edexcel Foundation
    4 主题
  8. Vectors Edexcel Foundation
    3 主题
  9. Volume-And-Surface-Area Edexcel Foundation
    3 主题
  10. Circles-Arcs-And-Sectors Edexcel Foundation
    3 主题
  11. Area-And-Perimeter Edexcel Foundation
    4 主题
  12. Pythagoras-And-Trigonometry Edexcel Foundation
    5 主题
  13. Congruence-Similarity-And-Geometrical-Proof Edexcel Foundation
    5 主题
  14. Bearings-Scale-Drawing-Constructions-And-Loci Edexcel Foundation
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  15. 2D-And-3D-Shapes Edexcel Foundation
    4 主题
  16. Angles-In-Polygons-And-Parallel-Lines Edexcel Foundation
    5 主题
  17. Geometry-Toolkit Edexcel Foundation
    4 主题
  18. Exchange-Rates-And-Best-Buys Edexcel Foundation
    2 主题
  19. Standard-And-Compound-Units Edexcel Foundation
    5 主题
  20. Direct-And-Inverse-Proportion Edexcel Foundation
    1 主题
  21. Ratio-Problem-Solving Edexcel Foundation
    2 主题
  22. Ratio-Toolkit Edexcel Foundation
    3 主题
  23. Sequences Edexcel Foundation
    4 主题
  24. Solving-Inequalities Edexcel Foundation
    3 主题
  25. Real-Life-Graphs Edexcel Foundation
    4 主题
  26. Graphs-Of-Functions Edexcel Foundation
    3 主题
  27. Linear-Graphs Edexcel Foundation
    3 主题
  28. Coordinate-Geometry Edexcel Foundation
    3 主题
  29. Functions Edexcel Foundation
    1 主题
  30. Forming-And-Solving-Equations Edexcel Foundation
    2 主题
  31. Simultaneous-Equations Edexcel Foundation
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  32. Solving-Quadratic-Equations Edexcel Foundation
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  33. Linear-Equations Edexcel Foundation
    3 主题
  34. Algebraic-Reasoning Edexcel Foundation
    1 主题
  35. Rearranging-Formulas Edexcel Foundation
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  36. Factorising Edexcel Foundation
    3 主题
  37. Expanding-Brackets Edexcel Foundation
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  38. Algebraic-Roots-And-Indices Edexcel Foundation
    1 主题
  39. Algebra-Toolkit Edexcel Foundation
    4 主题
  40. Using-A-Calculator Edexcel Foundation
    1 主题
  41. Exact-Values Edexcel Foundation
    1 主题
  42. Rounding-Estimation-And-Error-Intervals Edexcel Foundation
    4 主题
  43. Fractions-Decimals-And-Percentages Edexcel Foundation
    2 主题
  44. Simple-And-Compound-Interest-Growth-And-Decay Edexcel Foundation
    4 主题
  45. Percentages Edexcel Foundation
    5 主题
  46. Fractions Edexcel Foundation
    6 主题
  47. Powers-Roots-And-Standard-Form Edexcel Foundation
    4 主题
  48. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Edexcel Foundation
    6 主题
  49. Number-Toolkit Edexcel Foundation
    9 主题
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Exam code:1MA1

SOHCAHTOA – Finding lengths

What is trigonometry?

  • Trigonometry is the mathematics of angles in triangles

  • It looks at the relationship between side lengths and angles of triangles

  • It comes from the Greek words trigonon meaning ‘triangle’ and metron meaning ‘measure’

What are sin, cos and tan?

  • The three trigonometric functions sine, cosine and tangent come from ratios of side lengths in right-angled triangles

  • To see how the ratios work you must first label the sides of a right-angled triangle in relation to a chosen angle θ

    • The hypotenuse, H, is the longest side in a right-angled triangle

      • It will always be opposite the right angle

    • The side opposite θ will be labelled opposite, O

    • The side next to θ will be labelled adjacent, A

  • The functions sine, cosine and tangent are the ratios of the lengths of these sides as follows

    • sin space theta blank equals space opposite over hypotenuse space equals space straight O over straight H

    • cos space theta blank equals space adjacent over hypotenuse space equals space straight A over straight H

    • tan space theta blank equals space opposite over adjacent space equals space straight O over straight A

Trigonometric formulae for a right-angled triangle

What is SOHCAHTOA?

  • SOHCAHTOA is a mnemonic that is often used as a way of remembering which ratio is which

    • Sin is Opposite over Hypotenuse

    • Cos is Adjacent over Hypotenuse

    • Tan is Opposite over Adjacent

  • H is always the same but O and A change depending on which angle is labelled as θ

<img alt=”Labelling a right-angled triangle using H, O and A” class=”ContentBlock_figure__vJw2q” data-nimg=”1″ decoding=”async” height=”267″ loading=”lazy” sizes=”(max-width: 320px) 320w, (max-width: 640px) 640w, (max-width: 960px) 960w, (max-width: 1280px) 1280w, 1920w” src=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png” srcset=”https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=16/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 16w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=32/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 32w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=48/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 48w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=64/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 64w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=96/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 96w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=128/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 128w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=256/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 256w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=384/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 384w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=640/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 640w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=750/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 750w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=828/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 828w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=1080/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 1080w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=1200/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 1200w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=1920/https://cdn.savemyexams.com/uploads/2020/03/R

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