MathDB
Math Prize 2017 Problem 12

Source:

September 26, 2017
Math Prize for Girls

Problem Statement

Let SS be the set of all real values of xx with 0<x<π/20 < x < \pi/2 such that sin⁡x\sin x, cos⁡x\cos x, and tan⁡x\tan x form the side lengths (in some order) of a right triangle. Compute the sum of tan⁡2x\tan^2 x over all xx in SS.
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