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O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2014 · Q14 Marks

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

  1. Show that tan θ + cos θ / (1 + sin θ) = sec θ.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [B1] B1 for use of tan θ = sin θ / cos θ
  2. [M1] M1 for attempt to obtain a single fraction
  3. [DM1] DM1 for use of sin² θ + cos² θ = 1
  4. [A1] A1 for 'finishing off'

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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 2014 Paper 1 Variant 1, question 1.

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