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Summary OCR AS Mathematics (Trigonometric ratio)

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2021/2022 Written for academic year
Institution OCR
Module Unit 1 C1 - Core Mathematics 1
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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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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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A/AS Level
Subject
Mathematics
Uploaded on
September 1, 2021
Number of pages
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2021/2022
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Summary
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