0580/22 May/Jun 2021, Question 23: Trigonometric Graphs and Equations
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
Solve 4 sin x = 3 for x in the interval 0° ≤ x ≤ 360°, giving all solutions.
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Solution · 2 marks
- 1sin x = 3/4 = 0.75
- 2x = sin⁻¹(0.75) = 48.59… ≈ 48.6°
- 3x = 180 − 48.59… = 131.4…° ≈ 131.4°
Answer48.6 or 48.59… and 131.4 or 131.4…
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