MathDB
Math Prize 2015 Problem 10

Source:

September 22, 2015

Problem Statement

Among all pairs of real numbers (x,y)(x, y) such that sin⁡sin⁡x=sin⁡sin⁡y\sin \sin x = \sin \sin y with −10π≤x,y≤10π-10 \pi \le x, y \le 10 \pi, Oleg randomly selected a pair (X,Y)(X, Y). Compute the probability that X=YX = Y.
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