0580/31 May/Jun 2025, Question 30: The Sine Ratio
Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 2 marks
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The question, in short
In right-angled triangle PQR, right angle at Q, PQ = 6 cm and PR = 8 cm; calculate angle QRP.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1PQ is opposite angle R, PR is the hypotenuse
- 2sin R = 6/8
- 3R = sin⁻¹(0.75) = 48.59…°
- 4Angle QRP = 48.6°
Answer48.6 or 48.59…
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