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Compute \(cos{0^{\circ}}+\cos{90^{\circ}}+\cos{180^{\circ}}+\cdots+\cos{(90^{\circ}\cdot 2016)},\)where each argument is greater than the previous one by 90 degrees.

 Oct 16, 2022
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The answer is 1008.

 Oct 16, 2022

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