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O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2012 · Q34 Marks

Show that cot A + (sin A) / (1 + cos A) = cosec A.

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] B1 for cot A = cos A / sin A
  2. [M1] M1 for obtaining as a single fraction
  3. [M1] M1 for use of cos² A + sin² A = 1
  4. [A1] A1 for correct simplification – answer given.
  5. [M1] M1 for multiplying by (1 – cos A)
  6. [M1] M1 for use of cos² A + sin² A = 1 anywhere
  7. [M1] M1 for cancelling sin A
  8. [A1] A1 for subtraction and simplification

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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 2012 Paper 1 Variant 2, question 3.

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