Question

The number of pairs (x, y) of real numbers satisfying $|tan\pi y|+si{n}^2\pi x=0$ and $x^2+y^2\le 2$ is ___

Answer 1

x, y are integers the solutions of (0, 0), (1, 0), (0, 1), (–1, 0), (0, –1), (1, 1), (1, –1), (–1, 1), (–1, –1)