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Summary OCR AS Mathematics (Trigonometric ratio)

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Includes sine rule and cosine rule as well as area of triangle. Apart from that, graphs of sine, cosine and tangent are also included in the notes. Each section contains examples or activities which students may find helpful.

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Unit 1 C1 - Core Mathematics 1










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Study Level
A/AS Level
Examinator
OCR
Subject
Mathematics
Unit
Unit 1 C1 - Core Mathematics 1
All documents for this subject (3)

Document information

Uploaded on
September 1, 2021
Number of pages
11
Written in
2021/2022
Type
Summary

Subjects

  • sine
  • cosine
  • tangent
  • trigonometry
  • sine rule
  • cosine rule
  • graphs

Content preview

OCR A-Level Mathematics
1.05 Trigonometry (Pt.1)




1
Byron Chan

, Trigonometric Ratios




2
Byron Chan

, 1 SINE, COSINE AND TANGENT
• From GCSE, you should already know what sine, cosine and tangent are…




𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝑠𝑖𝑛𝜃 =
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
𝑐𝑜𝑠𝜃 =
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝑡𝑎𝑛𝜃 =
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡

• To easily remember this, we have SOHCAHTOA:




S O H ine is pposite over ypotenuse




C A Hosine is djacent over ypotenuse




T O A angent is pposite over djacent


• We have some standard angles to remember:

30o 45o 60o
1 √2 √3
Sine
2 2 2
√3 √2 1
Cosine
2 2 2
√3 1
Tangent 𝑜𝑟 1 √3
3 √3




3
Byron Chan
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