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Maths Gcse Aqa Higher

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  1. Scatter-Graphs-And-Correlation Aqa Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Aqa Higher
    4 主题
  3. Histograms Aqa Higher
    3 主题
  4. Statistical-Diagrams Aqa Higher
    5 主题
  5. Averages-Ranges-And-Data Aqa Higher
    7 主题
  6. Combined-And-Conditional-Probability Aqa Higher
    3 主题
  7. Tree-Diagrams Aqa Higher
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  8. Simple-Probability-Diagrams Aqa Higher
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  9. Transformations Aqa Higher
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  10. Vectors Aqa Higher
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  11. 3D-Pythagoras-And-Trigonometry Aqa Higher
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  12. Sine-Cosine-Rule-And-Area-Of-Triangles Aqa Higher
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  13. Pythagoras-And-Trigonometry Aqa Higher
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  14. Area-And-Volume-Of-Similar-Shapes Aqa Higher
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  15. Congruence-Similarity-And-Geometrical-Proof Aqa Higher
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  16. Volume-And-Surface-Area Aqa Higher
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  17. Circles-Arcs-And-Sectors Aqa Higher
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  18. Area-And-Perimeter Aqa Higher
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  19. Circle-Theorems Aqa Higher
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  20. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Higher
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  21. Angles-In-Polygons-And-Parallel-Lines Aqa Higher
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  22. Symmetry-And-Shapes Aqa Higher
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  23. Exchange-Rates-And-Best-Buys Aqa Higher
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  24. Standard-And-Compound-Units Aqa Higher
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  25. Direct-And-Inverse-Proportion Aqa Higher
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  26. Problem-Solving-With-Ratios Aqa Higher
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  27. Ratios Aqa Higher
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  28. Sequences Aqa Higher
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  29. Transformations-Of-Graphs Aqa Higher
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  30. Graphing-Inequalities Aqa Higher
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  31. Solving-Inequalities Aqa Higher
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  32. Real-Life-Graphs Aqa Higher
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  33. Estimating-Gradients-And-Areas-Under-Graphs Aqa Higher
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  34. Equation-Of-A-Circle Aqa Higher
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  35. Functions Aqa Higher
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  36. Forming-And-Solving-Equations Aqa Higher
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  37. Graphs-Of-Functions Aqa Higher
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  38. Linear-Graphs Aqa Higher
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  39. Coordinate-Geometry Aqa Higher
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  40. Iteration Aqa Higher
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  41. Simultaneous-Equations Aqa Higher
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  42. Quadratic-Equations Aqa Higher
    4 主题
  43. Linear-Equations Aqa Higher
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  44. Algebraic-Proof Aqa Higher
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  45. Rearranging-Formulas Aqa Higher
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  46. Algebraic-Fractions Aqa Higher
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  47. Completing-The-Square Aqa Higher
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  48. Factorising Aqa Higher
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  49. Expanding-Brackets Aqa Higher
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  50. Algebraic-Roots-And-Indices Aqa Higher
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  51. Using-A-Calculator Aqa Higher
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  52. Surds Aqa Higher
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  53. Rounding-Estimation-And-Bounds Aqa Higher
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  54. Fractions-Decimals-And-Percentages Aqa Higher
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  55. Introduction Aqa Higher
    7 主题
  56. Simple-And-Compound-Interest-Growth-And-Decay Aqa Higher
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  57. Percentages Aqa Higher
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  58. Fractions Aqa Higher
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  59. Powers-Roots-And-Standard-Form Aqa Higher
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  60. Prime-Factors-Hcf-And-Lcm Aqa Higher
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  61. Number-Operations Aqa Higher
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Exam code:8300

SOHCAHTOA

What is trigonometry?

  • Trigonometry is the mathematics of angles in triangles

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

What are sin, cos and tan?

  • The three trigonometric functions sine, cosine and tangent

    • They come from ratios of side lengths in right-angled triangles

  • You must 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 often used to remember 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/Right-Angled-Triangles-OAH-Theta.png 1920w, https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=2048/https://cdn.savemyexams.com/uploads/2020/03/Right-Angled-Triangles-OAH-Theta.png 2048w, https://cdn.savemyexams.com/cd

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