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O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2024 · Q55 Marks

5 (a) The diagram shows the graph of y = acos bx+c, for -360° ≤ x ≤ 360°, where a, b and c are constants. Find the values of a, b and c. [Figure 5.1 - A cosine graph is shown. Max value at x=0 is 2, min value at x=180 is -10. Period is 360 degrees.]

  1. (a)The diagram shows the graph of y = acos bx+c, for -360° ≤ x ≤ 360°, where a, b and c are constants. Find the values of a, b and c.[3]
  2. (b)The line y = p is a tangent to the curve y = 3 - 2 sin 60. Write down the possible values of p.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [3] B1 for each (a=5, b=3/4 (oe), c=-4)
  2. [2] B1 for each (p=1, p=5) Do not allow if written as inequalities

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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 2024 Paper 1 Variant 1, question 5.

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