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0580/23 Oct/Nov 2021, Question 24: Trigonometric Graphs and Equations

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks

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The question, in short

Solve tan x = √3 for all x in the interval 0° ≤ x ≤ 360°, giving every possible value of x.

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

Solution · 2 marks

  1. 1tan⁻¹(√3) = 60°
  2. 2tan repeats every 180°: 60 + 180 = 240°
  3. 3x = 60° and x = 240°

Answer60 and 240

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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 24.
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