O-LevelAdditional MathematicsTrigonometry4037/22 · Oct/Nov 2013 · Q129 Marks

Solve the equation 2 cosec x + 7 / cos x = 0 for 0° ≤ x ≤ 360°.

Mark scheme

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

[B1] cosec x = 1/sin x inserted into equation
[DB1] tan x = -2/7
[B1] 164.1 One correct value. ♫ on 180+(164.1) Must come from tanx =. Condone 164 and 344
[B1] 344.1 Deduct 1 mark for extras in range
[B1] (2y – 1) = 0.79..or 2.34... Allow 0.8, 2.3 or 45.6°.
[M1] Find y using radians Add 1 then divide by 2 on a correct angle
[A1] 0.898 (or 0.9 or 0.90) One correct value
[A1] 1.67, 4.04 and 4.81(45) Another correct value. Final two values.
[A1] Deduct 1 mark for extras in range

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About this question

Topic

Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 9 marks.

Source

O-Level Additional Mathematics, Oct/Nov 2013 Paper 2 Variant 2, question 12.

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