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TrigonometryHardSum, Difference, and Multiple-Angle Formulas

Sum, Difference, and Multiple-Angle Formulas · Hard problem

An angle xx satisfies sin⁡(x+30∘)=2cos⁡(x+60∘)\sin(x + 30^\circ) = 2\cos(x + 60^\circ). Find the exact value of tan⁡x\tan x.