IKMC 2027 - Grades 11-12 - Self-study SET 6 - Thematic Batch 3 Question 6

Question 6

Let (x, y, z) solve sin y −sin x =x −y, sin y −sin z =z −y, and x −y+z =π. As k ranges over all integers, how many different values can sin (kz) take?

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Infinitely many values
Undefined because the given system has no solution