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Math Prize 2016 Problem 10

Source:

September 12, 2016
Math Prize for Girls

Problem Statement

How many solutions of the equation tan⁡x=tan⁡tan⁡x\tan x = \tan \tan x are on the interval 0≤x≤tan⁡−19420 \le x \le \tan^{-1} 942? (Here tan⁡−1\tan^{-1} means the inverse tangent function, sometimes written arctan⁡\arctan.)
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