MathDB

4

Part of 2004 Swedish Mathematical Competition

Problems(1)

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

Source: Swedish Mathematical Competition 2004 p4

3/21/2021
If 0<v<π20 < v <\frac{\pi}{2} and tan⁡v=2v\tan v = 2v, decide whether sinv<2021sinv < \frac{20}{21}.
trigonometryalgebrainequalities