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O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2021 · Q44 Marks

Solve the equation `cot(2x+π/3)-√3 = 0`, where `-π < x < π` radians. Give your answers in terms of π.

Solve the equation `cot(2x+π/3)-√3 = 0`, where `-π < x < π` radians. Give your answers in terms of π.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

[B1] tan(2x+π/3) = 1/√3
[M1] for using correct order of operations
[A1] for two correct solutions
[A1] for two further correct solutions and no other solutions in range

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About this question

Topic: Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2021 Paper 1 Variant 2, question 4.

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