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11.7

Part of 2004 All-Russian Olympiad Regional Round

Problems(1)

sin n a + sin nb + sin nc < 0 - All-Russian MO 2004 Regional (R4) 11.7

Source:

9/27/2024
For what natural numbers nn for any numbers a,b,ca, b , c, which are values of the angles of an acute triangle, the following inequality is true: sin⁡na+sin⁡nb+sin⁡nc<0?\sin na + \sin nb + \sin nc < 0?
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