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O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2015 · Q35 Marks

Show that √sec²θ-1 + √cosec²θ-1 = sec θ cosec θ.

  1. Show that √sec²θ-1 + √cosec²θ-1 = sec θ cosec θ.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.

  1. [B1] may be implied by the next line
  2. [B1] for dealing with tan θ and cot θ in terms of sin θ and cos θ
  3. [M1] for attempt to obtain as a single fraction
  4. [M1] for the use of sin² θ + cos² θ =1 in correct context
  5. [A1] Must be convinced as AG

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2015 Paper 1 Variant 2, question 3.

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