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Question Number 56647 by ANTARES VY last updated on 20/Mar/19

$$\mathbf{sin}\left(\frac{\mathit{\pi }}{\mathbf{x}}\right)=1$$$$\mathbf{x}\in [0.05;0.1]$$

Commented by ajfour last updated on 20/Mar/19

$$\sin \left(\frac{\pi }{\mathrm{x}}\right)=\sin (\frac{\pi }{2}+2\mathrm{k}\pi )$$$$\mathrm{k}\in \{5,6,7,8,9\}$$$$\Rightarrow \mathrm{x}=\frac{2}{4\mathrm{k}+1}=\{\frac{2}{21},\frac{2}{25},\frac{2}{29},\frac{2}{33},\frac{2}{37}\}$$

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