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O-LevelAdditional MathematicsTrigonometry4037/21 · May/June 2023 · Q25 Marks

The function g is defined for 0° ≤ x ≤ 120° by g(x) = 2+4 cos 6x.

  1. (a)On the axes, sketch the graph of y = g(x).[3]
  2. (b)State the amplitude of g.[1]
  3. (c)State the period of g.[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. [B2] for correct cosine shape over 2 cycles with midline at y = 2 and consistent amplitude
  2. [B1] for a consistent amplitude of 2; must have attempted correct shape
  3. [1] 4
  4. [1] 60°

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2023 Paper 2 Variant 1, question 2.

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