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0580/21 Oct/Nov 2021, Question 9: The Cosine Ratio

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks

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The question, in short

Use the right-angled triangle with base 7 cm and hypotenuse 12 cm to calculate the angle x° at the bottom right.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 2 marks

  1. 17 cm is adjacent to x and 12 cm is the hypotenuse
  2. 2cos x = 7/12
  3. 3x = cos⁻¹(7/12) = 54.31… ≈ 54.3

Answer54.3 or 54.31…

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