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Question

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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

#1
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The sum is 504.

Oct 16, 2022