# Inspired by Nihar Mahajan

Geometry Level 4

Let $$a$$ be the sum of the integral values of $$x∈(-2\pi , 2\pi)$$ that satisfies the ecuation $$cos(sin(x))=cos(|sin(x)|)$$ and $$b$$ the number of solutions of the ecuation $$sin(cos(x))=cos(sin(x))$$. Find $$a+b$$

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