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O-LevelAdditional MathematicsTrigonometry4037/21 · May/June 2017 · Q46 Marks

Given that y = 7 cos 10x – 3, where the angle x is measured in degrees, state the period of y,

  1. (a)(i)Given that y = 7 cos 10x – 3, where the angle x is measured in degrees, state the period of y,[1]
  2. (a)(ii)Given that y = 7 cos 10x – 3, where the angle x is measured in degrees, state the amplitude of y.[1]
  3. (b)[Figure 4.1] Find the equation of the curve shown, in the form y = ag(bx) + c, where g(x) is a trigonometric function and a, b and c are integers to be found.[4]

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Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [B1] 36
  2. [B1] 7
  3. [B4] [y =] 5sin 4x + 7 B1 for each of 5, 4 and 7 and B1 for sine Accept a = 5, b = 4, c = 7 for B3

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2017 Paper 2 Variant 1, question 4.

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