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0580/23 May/Jun 2024, Question 22: Trigonometric Graphs and Equations

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Solve tan x + √3 = 0 for x between 0° and 360°, giving all angles in the range.

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

Solution · 3 marks

  1. 1tan x = −√3
  2. 2tan⁻¹(√3) = 60°
  3. 3x = 180 − 60 = 120° or x = 360 − 60 = 300°

Answer120, 300

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