MathCastle
ChallengeMedium

Challenge · Medium problem

Compute cos⁡21∘+cos⁡22∘+cos⁡23∘+⋯+cos⁡290∘\cos^{2}1^{\circ}+\cos^{2}2^{\circ}+\cos^{2}3^{\circ}+\cdots+\cos^{2}90^{\circ}.

Express your answer as a common fraction.

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