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O-LevelAdditional MathematicsTrigonometry4037/22 · May/June 2010 · Q119 Marks

Solve, for 0 < x < 3 radians, the equation 4 sin x – 3 = 0, giving your answers correct to 2 decimal places.

  1. (a)Solve, for 0 < x < 3 radians, the equation 4 sin x – 3 = 0, giving your answers correct to 2 decimal places.[3]
  2. (b)Solve, for 0° < y < 360°, the equation 4 cosec y = 6 sin y + cot y.[6]

Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. B1 for 0.85
  2. M1 for Subtract from π
  3. A1 for 2.29
  4. M1 for Uses sin² y = 1- cos² y to reach quadratic in cos y
  5. DM1 for Solve 3 term quadratic
  6. A1 for cos y = 2/3 and cos y = -1/2
  7. A1 for 48.2 and 120
  8. A1√ for 311.8 and 240

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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 2010 Paper 2 Variant 2, question 11.

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