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4PM1/02 Jan 2022, Question 2: Solving Trig Equations

Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 2 · Calculator · 5 marks

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The question, in short

Solve sin(2θ − 20)° − √3 cos(2θ − 20)° = 0 for 0 ≤ θ ≤ 180, giving all values of θ in the range.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 5 marks

  1. 1sin(2θ − 20)° = √3 cos(2θ − 20)°
  2. 2tan(2θ − 20)° = √3
  3. 32θ − 20 = 60°, 240°
  4. 42θ = 80°, 260°
  5. 5θ = 40°, 130°

Answerθ = 40°, 130°

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