0580/22 May/Jun 2026, Question 8: Exact trigonometric values
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 2 marks
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The question, in short
Choose from 1/√3, 1/2, 1/√2, √3 and √3/2 the exact values of cos 45° and tan 60°.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1cos 45° = 1/√2 (from a right-angled isosceles triangle with sides 1, 1, √2)
- 2tan 60° = √3/1 = √3 (from half an equilateral triangle with sides 1, √3, 2)
Answercos 45° = 1/√2, tan 60° = √3
Stuck on a step? Read the free lesson: Special Angles and Exact Ratios
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Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 8.
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