4PM1/02 Jun 2025, Question 1: 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 √3 tan A = 2 sin A for A in the range 0° to 360°, giving all angles that satisfy the equation.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1√3 sin A/cos A = 2 sin A
- 2√3 sin A − 2 sin A cos A = 0
- 3sin A(√3 − 2cos A) = 0
- 4sin A = 0: A = 0°, 180°, 360°
- 5cos A = √3/2: A = 30°, 330°
AnswerA = 0°, 30°, 180°, 330°, 360°
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