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O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2011 · Q13 Marks

Show that (1 / (tan θ + cot θ)) = sin θ cos θ.

  1. Show that (1 / (tan θ + cot θ)) = sin θ cos θ.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

  1. [M1] M1 for adding fractions in terms of sin/cos/tan/cot correctly
  2. [M1] M1 for use of correct identity
  3. [A1] A1 for correct solution only

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2011 Paper 1 Variant 2, question 1.

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