Eucleadian-Space-R-2-and-Subset-A-A-x-y-R-2-x-2-y-2-1-B-t-1-t-cos-t-t-1-t-sin-t-R-2-1-t-R-Show-that-X-A-B-is-Connect-set-

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Question Number 220588 by SdC355 last updated on 16/May/25

Eucleadian Space R^2 and Subset A A={(x,y)∈R^2 ∣x^2 +y^2 =1}, B={(((t−1)/t) cos(t),((t−1)/t)sin(t))∈R^2 ∣1≤t∈R} Show that X=A∪B is Connect set

$$\mathrm{Eucleadian}\:\mathrm{Space}\:\mathbb{R}^{\mathrm{2}} \:\mathrm{and}\:\mathrm{Subset}\:{A} \\ $$$${A}=\left\{\left({x},{y}\right)\in\mathbb{R}^{\mathrm{2}} \mid{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{1}\right\},\:{B}=\left\{\left(\frac{{t}−\mathrm{1}}{{t}}\:\mathrm{cos}\left({t}\right),\frac{{t}−\mathrm{1}}{{t}}\mathrm{sin}\left({t}\right)\right)\in\mathbb{R}^{\mathrm{2}} \mid\mathrm{1}\leq{t}\in\mathbb{R}\right\} \\ $$$$\mathrm{Show}\:\mathrm{that}\:{X}={A}\cup{B}\:\mathrm{is}\:\mathrm{Connect}\:\mathrm{set} \\ $$

Commented by SdC355 last updated on 16/May/25

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Eucleadian-Space-R-2-and-Subset-A-A-x-y-R-2-x-2-y-2-1-B-t-1-t-cos-t-t-1-t-sin-t-R-2-1-t-R-Show-that-X-A-B-is-Connect-set-

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