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O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2013 · Q119 Marks

(a) Solve cos 2x + 2sec 2x + 3 = 0 for 0° ≤ x ≤ 360°.

  1. (a)Solve cos 2x + 2sec 2x + 3 = 0 for 0° ≤ x ≤ 360°.[5]
  2. (b)Solve 2 sin²(y - π/6) = 1 for 0 ≤ y ≤ π.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.

  1. [1] M1 dealing with sec or cos
  2. [1] A1 simplification to correct 3 term quadratic in sec 2x or cos 2x (does not have to be equated to zero)
  3. [1] M1 attempt to solve a 3 term quadratic, must obtain solutions in terms of cos 2x
  4. [1] A1 for 2x = 180°, 540°
  5. [1] A1 for x = 90°, 270°
  6. [1] M1 division by 2 and square root
  7. [1] DM1 correct order of operation and attempt to solve
  8. [1] A1 for 5π/12
  9. [1] A1 for 11π/12

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 9 marks.
Source
O-Level Additional Mathematics, May/June 2013 Paper 1 Variant 2, question 11.

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