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[函数] 一个三角连乘

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realnumber Post time 2016-4-4 10:53 |Read mode
\[\cos{\frac{\pi}{17}}\cos{\frac{2\pi}{17}}\cos{\frac{3\pi}{17}}\cos{\frac{4\pi}{17}}\cos{\frac{5\pi}{17}}\cos{\frac{6\pi}{17}}\cos{\frac{7\pi}{17}}\cos{8\frac{\pi}{17}}\]

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 Author| realnumber Post time 2016-4-4 11:01
本帖最后由 realnumber 于 2016-4-4 11:07 编辑 乘除\[2^8\sin{\frac{\pi}{17}}\sin{\frac{3\pi}{17}}\sin{\frac{5\pi}{17}}\]
\[2^4\sin{\frac{\pi}{17}}\cos{\frac{\pi}{17}}\cos{\frac{2\pi}{17}}\cos{\frac{4\pi}{17}}\cos{\frac{8\pi}{17}}=\frac{\sin{\frac{\pi}{17}}}{2^4}\]
\[2^4\sin{\frac{3\pi}{17}}\cos{\frac{3\pi}{17}}\cos{\frac{6\pi}{17}}=\sin{\frac{5\pi}{17}}\]
\[2^4\sin{\frac{5\pi}{17}}\cos{\frac{5\pi}{17}}\cos{\frac{7\pi}{17}}=\sin{\frac{3\pi}{17}}\]

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 Author| realnumber Post time 2016-4-4 11:10
刀歌0.57721

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色k Post time 2016-4-4 11:18

手机版|悠闲数学娱乐论坛(第3版)

2025-3-6 21:48 GMT+8

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