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Math Prize 2022 Problem 12

Source:

October 12, 2022

Problem Statement

Solve the equation sin⁡9∘sin⁡21∘sin⁡(102∘+x∘)=sin⁡30∘sin⁡42∘sin⁡x∘ \sin 9^\circ \sin 21^\circ \sin(102^\circ + x^\circ) = \sin 30^\circ \sin 42^\circ \sin x^\circ for xx where 0<x<900 < x < 90.
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