(ARML 2014 Team Round #7) Compute: sin⁡24∘+sin⁡28∘+sin⁡212∘+...+sin⁡2176∘.\sin^2 4^{\circ} + \sin^2 8^{\circ} + \sin^2 12^{\circ} + ... + \sin^2 176^{\circ}.

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