Mock AIME 1 2006-2007 Problems/Problem 3

Let $\triangle ABC$ have $BC=\sqrt{7}$ , $CA=1$ , and $AB=3$ . If $\angle A=\frac{\pi}{n}$ where $n$ is an integer, find the remainder when $n^{2007}$ is divided by $1000$ .

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Mock AIME 1 2006-2007

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Mock AIME 1 2006-2007 Problems/Problem 3

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