How many Integer Solutions?

Geometry Level 4

How many integer solutions are there to \[\large \lfloor {x + \sin x} \rfloor = \left\lfloor {x^2 + \cos x} \right\rfloor ?\] If you think there are infinitely many solutions, then enter 999.

Details and Assumptions:

  • \( \lfloor \cdot \rfloor \) denotes the floor function.
  • The angles are measured in radians.

Inspired by Hummus A


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