MathDB

4

Part of 1988 Flanders Math Olympiad

Problems(1)

[solved] - I find this ugly...

Source: flanders '88

8/9/2004
Be RR a positive real number. If R,1,R+12R, 1, R+\frac12 are triangle sides, call θ\theta the angle between RR and R+12R+\frac12 (in rad). Prove 2Rθ2R\theta is between 11 and π\pi.
calculusderivativegeometrytrigonometryfunctioninequalitiesquadratics