MathDB

10.1

Part of 2004 All-Russian Olympiad Regional Round

Problems(1)

cosa+cosb+cosc>sina+sinb+sinc- All-Russian MO 2004 Regional (R4) 10.1

Source:

9/27/2024
The sum of positive numbers a,b,ca, b, c is equal to π/2\pi/2. Prove that cos⁡a+cos⁡b+cos⁡c>sin⁡a+sin⁡b+sin⁡c.\cos a + \cos b + \cos c > \sin a + \sin b + \sin c.
trigonometryalgebrainequalities