\[\{x\to 10.\}\]
这种题，最无聊，直接数值解牛顿迭代法，求出根，然后验算就可以了
数学竞赛题，用软件当然简单了，问题是考场上三角函数怎么直接计算？ northwolves 发表于 2021-2-2 18:25
数学竞赛题，用软件当然简单了，问题是考场上三角函数怎么直接计算？
卡西欧计算器可以牛顿迭代法解数值解！ 本帖最后由 northwolves 于 2021-2-5 15:48 编辑
northwolves 发表于 2021-2-2 16:20
$tanx=\frac{tan \frac{pi}{9}tan \frac{2pi}{9}}{sqrt3}$
$=tan \frac{pi}{18}$?
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
northwolves 发表于 2021-2-5 15:40
\(\D\frac{\tan\frac{\pi}{9}\tan\frac{2\pi}{9}}{\sqrt{3}}=\tan20^\circ\tan30^\circ\tan40^\circ\)
我们有：\(\D\frac{\sin20^\circ\sin30^\circ\sin40^\circ\sin80^\circ}{\sin70^\circ\sin60^\circ\sin50^\circ\sin10^\circ}=1\)
即：\(\D\tan20^\circ\tan30^\circ\tan40^\circ=\tan10^\circ\)
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