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TR-MO-R1 2008 Problem 27

    Bir üçgenin açıları olan α,β,γ\alpha, \beta, \gamma aritmetik dizi oluşturuyorlar. sin⁡20α\sin 20\alpha, sin⁡20β\sin 20\beta ve sin⁡20γ\sin 20\gamma da aritmetik dizi oluşturuyorsa, α\alpha kaç farklı değer alabilir?

    a) 1 b) 2 c) 3 d) 4 e) Hiçbiri

    Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 8. Quoted with source.

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