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Part of 1901 Eotvos Mathematical Competition

Problems(1)

If $$u=\text{cot} 22^{\circ}30’ \text{ },\text{ } v= \frac{1}{\text{sin}

Source: Eotvos 1901 p2

u=\text{cot} 22^{\circ}30’ \text{ },\text{ } v= \frac{1}{\text{sin} 22^{\circ}30’}

u

satisfies a quadratic and

v

a quartic (4th degree) equation with integral coefficients and with leading coefficients

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