0580/13 May/Jun 2021, Question 24: Choosing the Right Trigonometric Ratio
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 2 marks
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The question, in short
Using a right-angled triangle with vertical side 18 cm and hypotenuse 30 cm, show that angle x is 36.9° to 1 decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 118 cm is opposite angle x and 30 cm is the hypotenuse
- 2sin x = 18/30 = 0.6
- 3x = sin⁻¹(0.6)
- 4= 36.86… = 36.9 to 1 decimal place
Answer36.87 or 36.86…
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