MathDB

5

Part of 1976 Poland - Second Round

Problems(1)

cos \pi x =1/3 then x is irrational

Source: Polish MO Second Round 1976 p5

9/8/2024
Prove that if cos⁡πx=13 \cos \pi x =\frac{1}{3} then x x is an irrational number.
algebratrigonometryrationalirrational