MathDB
Integer values of cotangent function

Source: Czech and Slovak Olympiad 1957, National Round, Problem 3

April 10, 2020
number theorytrigonometric functionnational olympiadfunction

Problem Statement

Find all real numbers α\alpha such that both values cot⁡(α)\cot(\alpha) and cot⁡(2α)\cot(2\alpha) are integers.
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