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Geometric inequality in IMO (1964) Q2 (Using Cosine Rule and Trigo Identities)

IMO 1964 - 2^n - 1 and 2^n + 1(in fact this is easier than 1959 IMO problem 1)
![[Very first IMO in history] 1959 IMO Problem #2: Absolute Value and a Little Graph](https://i.ytimg.com/vi/3jFGouvVvrY/mqdefault.jpg)
[Very first IMO in history] 1959 IMO Problem #2: Absolute Value and a Little Graph

IMO 2004 Problem 2

1964 IMO Problem #4

The Hardest Mathematics Problem Ever Asked on the IMO

One of the Easiest IMO problems | International Mathematical Olympiad 1964 Problem 1

'Hardest' IMO question of 1988 (#6)

1964 IMO Problem #1

2012 IMO Problem 2 (Two solutions)
![IMO, a very Cool Inequality [ International Math Olympiad Problem ]](https://i.ytimg.com/vi/hrFeSQZrjgI/mqdefault.jpg)
IMO, a very Cool Inequality [ International Math Olympiad Problem ]
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Last Updated: August 22, 2026
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