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Omni-MATH / Find the value of 1006sin(π)/(1006). Approximating directly by π=3.1415… is worth only 3 points.

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problem

Find the value of 1006sinπ10061006 \sin \frac{\pi}{1006}. Approximating directly by π=3.1415…\pi=3.1415 \ldots is worth only 3 points.
Plain-text mathematical notation (without MathML)
Find the value of 1006sin(π)/(1006). Approximating directly by π=3.1415… is worth only 3 points.
Original LaTeX notation
Find the value of $1006 \sin \frac{\pi}{1006}$. Approximating directly by $\pi=3.1415 \ldots$ is worth only 3 points.

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