olymmath

BALTIC-WAY 2008 Problem 3

    Does there exist an angle α∈(0,π/2)\alpha \in(0, \pi / 2) such that sin⁡α,cos⁡α,tan⁡α\sin \alpha, \cos \alpha, \tan \alpha and cot⁡α\cot \alpha, taken in some order, are consecutive terms of an arithmetic progression?

    Dataset text NuminaMath olympiads. Quoted with source.

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