olymmath

HMMT November 2024 U28

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The graph of the equation tan⁡(x+y)=tan⁡(x)+2tan⁡(y)\tan (x+y)=\tan (x)+2 \tan (y), with its pointwise holes filled in, partitions the coordinate plane into congruent regions. Compute the perimeter of one of these regions. Proposed by: Karthik Venkata Vedula

Dataset text NuminaMath olympiads. Quoted with source.

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\pi(\sqrt{5}+1)

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