0580/21 May/Jun 2024, Question 20: Trigonometric Graphs and Equations
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Solve 8 sin x + 6 = 1 for x in the interval 0° to 360°, giving all solutions.
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Solution · 3 marks
- 18 sin x = 1 − 6 = −5
- 2sin x = −5/8
- 3sin⁻¹(5/8) = 38.68…°
- 4x = 180 + 38.68 = 218.7° or x = 360 − 38.68 = 321.3°
Answer218.7, 321.3
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