Question 18
Find all real solutions to:
$$\sin x + 2\sin (x + y + z) = 0$$
$$\sin y + 3\sin (x + y + z) = 0$$
$$\sin z + 4\sin (x + y + z) = 0$$
$$\sin x + 2\sin (x + y + z) = 0$$
$$\sin y + 3\sin (x + y + z) = 0$$
$$\sin z + 4\sin (x + y + z) = 0$$
MathNet 1980 — Part 01 Question 18
Math Olympiad Vault · MathNet 1980 — Part 01