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RU-ALLRUSSIAN 1980 Problem 9

  • Answer

Find all real solutions to: sin⁡x+2sin⁡(x+y+z)=0\sin x + 2\sin (x + y + z) = 0 sin⁡y+3sin⁡(x+y+z)=0\sin y + 3\sin (x + y + z) = 0 sin⁡z+4sin⁡(x+y+z)=0\sin z + 4\sin (x + y + z) = 0

Dataset text NuminaMath olympiads. Quoted with source.

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