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O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2019 · Q15 Marks

(i) On the axes below, sketch the graph of y = 2cos3x-1 for -90° ≤x≤ 90°. [Figure 1.1]

  1. (i)On the axes below, sketch the graph of y = 2cos3x-1 for -90° ≤x≤ 90°.[3]
  2. (ii)Write down the amplitude of 2cos3x-1.[1]
  3. (iii)Write down the period of 2cos3x-1.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [3] B1 for y intercept (0,1), must have a graph
  2. [3] B1 for starting and finishing at (+90,-1)
  3. [3] B1 for all correct, must be attempt at a curve passing through (±30,-1) and (±60,-3)
  4. [1] B1
  5. [1] 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, Oct/Nov 2019 Paper 1 Variant 2, question 1.

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