0580/22 May/Jun 2023, Question 21: Trigonometric Graphs and Equations
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Solve 5 sin x = −3 for x between 0° and 360°, giving all solutions in the range.
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Solution · 3 marks
- 1sin x = −3/5 = −0.6
- 2sin⁻¹(0.6) = 36.86…°
- 3x = 180 + 36.86… = 216.86… ≈ 216.9
- 4x = 360 − 36.86… = 323.13… ≈ 323.1
Answer216.9 or 216.86 to 216.87, 323.1 or 323.13…
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