0580/22 Oct/Nov 2021, Question 22: Trigonometric Graphs and Equations
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Solve 7 sin x + 2 = 0 for x between 0° and 360°, giving all solutions in the range.
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Solution · 3 marks
- 1sin x = −2/7
- 2sin⁻¹(2/7) = 16.60…°
- 3x = 180 + 16.60… = 196.60… ≈ 196.6°
- 4x = 360 − 16.60… = 343.39… ≈ 343.4°
Answer196.6 or 196.60… and 343.4 or 343.39…
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