MathDB

49

Part of 1974 IMO Longlists

Problems(1)

Third degree polynomial with sin roots [ILL 1974]

Source:

1/2/2011
Determine an equation of third degree with integral coefficients having roots sin⁡π14,sin⁡5π14\sin \frac{\pi}{14}, \sin \frac{5 \pi}{14} and sin⁡−3π14.\sin \frac{-3 \pi}{14}.
algebrapolynomialcalculusintegrationtrigonometryalgebra proposed