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A-LevelMathematicsTrigonometry9709/22 · Feb/Mar 2017 · Q25 Marks

Given that tan 2θ cot θ = 8,

  1. (i)show that tan² θ = ¾.[3]
  2. (ii)Hence solve the equation tan 2θ cot θ = 8 for 0° < θ < 180°.[2]

Mark scheme

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

  1. [B1] Use identity cot θ = 1/tan θ
  2. [M1] Attempt use of identity for tan 2θ
  3. [A1] Confirm given tan² θ = ¾
  4. [B1] Obtain 40.9
  5. [B1] Obtain 139.1

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About this question

Topic
Trigonometry, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Feb/Mar 2017 Paper 2 Variant 2, question 2.

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