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0606/13 May/Jun 2026, Question 5: Trig Graphs: Amplitude and Period

Cambridge IGCSE Additional Mathematics 0606 · Paper 13 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Sketch two trigonometric graphs on the given grids: y = cos x + 2 for −360° ≤ x ≤ 360°, and y = 4 sin 2x for −180° ≤ x ≤ 180°.

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Part (a) · 1 mark

On the grid, sketch y = cos x + 2 over −360° ≤ x ≤ 360°.

  1. 1Start from y = cos x, which oscillates between −1 and 1
  2. 2Translate up by 2: it now oscillates between 1 and 3
  3. 3y = 3 at x = 0° and x = ±360°; y = 1 at x = ±180°

AnswerCosine curve shifted up 2: maxima y = 3 at x = −360°, 0°, 360°; minima y = 1 at x = ±180°; symmetric about the y-axis

Part (b) · 2 marks

On the grid, sketch y = 4 sin 2x over −180° ≤ x ≤ 180°.

  1. 1Amplitude 4, so y goes between −4 and 4
  2. 2Period 360°/2 = 180°, so two full cycles in −180° ≤ x ≤ 180°
  3. 3Zeros at x = −180°, −90°, 0°, 90°, 180°
  4. 4Max 4 at x = −135°, 45°; min −4 at x = −45°, 135°

AnswerSine curve through the origin, amplitude 4, period 180°: two full cycles; max 4 at x = −135°, 45°; min −4 at x = −45°, 135°; zero at x = 0°, ±90°, ±180°

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Also searched as: 0606/13/M/J/26 · 0606_s26_qp_13 · 0606 s26 13 · question 5.
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