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MathNet 2007-part-02 — 187 problems (EN–VI) Question 176

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 176

Prove that there is no real number $x$ for which
$$
\frac{1}{9}\lt\frac{\tan 3 x}{\tan 2 x} \leq \frac{3}{2}
$$
holds.