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Maths Gcse Wjec-Eduqas Foundation

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Foundation
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  2. Statistical-Diagrams- Wjec-Eduqas Foundation
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  3. Statistics-Toolkit Wjec-Eduqas Foundation
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  4. Tree-Diagrams-And-Combined-Probability Wjec-Eduqas Foundation
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  5. Simple-Probability-Diagrams- Wjec-Eduqas Foundation
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  6. Probability-Toolkit Wjec-Eduqas Foundation
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  7. Transformations Wjec-Eduqas Foundation
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  8. Vectors Wjec-Eduqas Foundation
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  9. Pythagoras-And-Trigonometry Wjec-Eduqas Foundation
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  10. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Foundation
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  11. Volume-And-Surface-Area- Wjec-Eduqas Foundation
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  13. Area-And-Perimeter Wjec-Eduqas Foundation
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  14. Bearings-Scale-Drawing-Constructions-And-Loci- Wjec-Eduqas Foundation
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  15. 2D-And-3D-Shapes Wjec-Eduqas Foundation
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  16. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Foundation
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  19. Standard-And-Compound-Units- Wjec-Eduqas Foundation
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  20. Direct-And-Inverse-Proportion- Wjec-Eduqas Foundation
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  21. Ratio-Problem-Solving- Wjec-Eduqas Foundation
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  22. Ratio-Toolkit Wjec-Eduqas Foundation
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  23. Sequences Wjec-Eduqas Foundation
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  26. Graphs-Of-Functions Wjec-Eduqas Foundation
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  27. Linear-Graphs Wjec-Eduqas Foundation
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  28. Coordinate-Geometry Wjec-Eduqas Foundation
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  29. Functions Wjec-Eduqas Foundation
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  30. Forming-And-Solving-Equations Wjec-Eduqas Foundation
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  33. Linear-Equations Wjec-Eduqas Foundation
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  34. Algebraic-Reasoning Wjec-Eduqas Foundation
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  36. Factorising Wjec-Eduqas Foundation
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  39. Algebra-Toolkit Wjec-Eduqas Foundation
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  40. Using-A-Calculator Wjec-Eduqas Foundation
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  41. Exact-Values Wjec-Eduqas Foundation
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  42. Rounding-Estimation-And-Error-Intervals Wjec-Eduqas Foundation
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  43. Fractions-Decimals-And-Percentages Wjec-Eduqas Foundation
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  44. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Foundation
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  45. Percentages Wjec-Eduqas Foundation
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  46. Fractions Wjec-Eduqas Foundation
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  48. Types-Of-Number-Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Foundation
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  49. Number-Toolkit Wjec-Eduqas Foundation
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Exam code:C300

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/2

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