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O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2011 · Q35 Marks

The figure shows the graph of y= k+ m sin px for 0 ≤ x ≤ π, where k, m and p are positive constants. [Figure 3.1]

  1. (a)Complete the following statements. k=____________ m=____________ p=____________[3]
  2. (b)(i)the amplitude of g,[1]
  3. (b)(ii)the period of g in terms of π.[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.

  1. (a) k = 2, m = 3, p = 1; B3 (B1 for each)
  2. (b) (i) 5; B1
  3. (ii) 2π/3; B1

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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 2011 Paper 1 Variant 2, question 3.

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