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Verified Answer :

pkmnmushy

Let me help you in this way: 
the range will have only three values.... -1, 0, and 1...

for:
0≤x<π2, y=0

x = π/2, y = 1

π/2<x<π, y=0

 Then what you need to do is to figure out the values for π<x<2π

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