Mathematics

Mathematics

Problem

How many ordered solutions (x,y)(x, y) in positive integers does the equation tan⁡−1x+cos⁡−1y1+y2=sin⁡−1310 have?\tan^{-1} x + \cos^{-1} \frac{y}{\sqrt{1+y^2}} = \sin^{-1} \frac{3}{\sqrt{10}} \text{ have?} have?

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