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## Not path-connected set

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Grigorios Kostakos
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### Not path-connected set

Prove that the set $A=\big\{(x,y)\in\mathbb{R}^2\;|\; y\cos{x}+x\sin{y}=1\big\}$ is not path-connected set with respect to the relative topology of $A$ in $\mathbb{R}^2$.
Grigorios Kostakos