0580/23 Oct/Nov 2024, Question 20: 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 + 2 = 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
- 1tan x = −2
- 2tan⁻¹(−2) = −63.43…°
- 3tan repeats every 180°: x = −63.43 + 180 = 116.56… ≈ 116.6°
- 4x = 116.56 + 180 = 296.56… ≈ 296.6°
- 5x = 116.6 and 296.6
Answer116.6 and 296.6
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Also searched as: 0580/23/O/N/24 · 0580_w24_qp_23 · 0580 w24 23 · question 20.
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