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O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2022 · Q24 Marks

Given that x = sec²θ and y+2 = cot²θ, find y in terms of x.

  1. Given that x = sec²θ and y+2 = cot²θ, find y in terms of x.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [B1] tan² θ = 1/(y+2) soi or x = 1+ tan² θ soi
  2. [M1] Use of tan² θ +1 = sec² θ OR 1/(y+2) +1=x oe
  3. [M1 Dep] For attempt to rearrange to obtain in the required form
  4. [A1] y = 1/(x-1) - 2 or y = (3-2x)/(x-1) oe

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2022 Paper 1 Variant 2, question 2.

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