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Not path-connected set

Posted: Sun Oct 09, 2016 8:20 am
by Grigorios Kostakos
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 $\mathbb{R}^2$.