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sinv < 20/21 ? if tan v = 2v and 0 < v < \pi / 2

Source: Swedish Mathematical Competition 2004 p4

March 21, 2021

trigonometryalgebrainequalities

Problem Statement

0 < v <\frac{\pi}{2}

and

\tan v = 2v

, decide whether

sinv < \frac{20}{21}