MathDB
2018 Algebra / NT #6

Source:

February 12, 2018

Problem Statement

Let α,β,\alpha,\beta, and γ\gamma be three real numbers. Suppose that cos⁡α+cos⁡β+cos⁡γ=1\cos\alpha+\cos\beta+\cos\gamma=1 sin⁡α+sin⁡β+sin⁡γ=1.\sin\alpha+\sin\beta+\sin\gamma=1. Find the smallest possible value of cos⁡α.\cos \alpha.
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