0580/42 Feb/Mar 2025, Question 19: Trigonometric Graphs and Equations
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
Solve 2 + 5 cos x = 0 for x between 0° and 360°, giving all solutions in the range.
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Solution · 3 marks
- 15 cos x = −2, so cos x = −0.4
- 2x = cos⁻¹(−0.4) = 113.57…° ≈ 113.6°
- 3Other solution: 360 − 113.6 = 246.4°
- 4x = 113.6 and 246.4
Answer113.6 and 246.4
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