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Trigonometryhard
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Determine the value of sin⁡2(10∘)+sin⁡2(20∘)+⋯+sin⁡2(170∘)\sin^2(10^\circ) + \sin^2(20^\circ) + \dots + \sin^2(170^\circ)sin2(10∘)+sin2(20∘)+⋯+sin2(170∘).