0580/23 May/Jun 2022, Question 23: Trigonometric Graphs and Equations
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Solve 3 sin x + 3 = 1 for x in the range 0° to 360°, giving all solutions.
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Solution · 3 marks
- 13 sin x = 1 − 3 = −2, so sin x = −2/3
- 2sin⁻¹(2/3) = 41.81…°
- 3x = 180 + 41.81… = 221.81… ≈ 221.8°
- 4x = 360 − 41.81… = 318.18… ≈ 318.2°
Answer221.8 or 221.81... and 318.2 or 318.18 to 318.19
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