0606/12 Feb/Mar 2025, Question 2: Trig Graphs: Amplitude and Period
Cambridge IGCSE Additional Mathematics 0606 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
From the graph of y = a cos bx + c on −180° ≤ x ≤ 180°, with maximum 3 and minimum −7, find the integer values of a, b and c.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Amplitude a = (3 − (−7))/2 = 5
- 2Centre line c = (3 + (−7))/2 = −2
- 3Maxima at 0° and every 120°, so the period is 120°
- 4b = 360° ÷ 120° = 3
Answera = 5, b = 3, c = −2
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