Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane. (Note dun all four graphs ore symmetric about the lines y=x and y=−x.) The hyperbola xy=−4

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nick1337 · Accepted Answer

Step 1 Since cot⁡2θ=adjopp, we let adj=8 and opp=15. By the Pythagorean Theorem, (hyp)2=(adj)2+(opp)2 (hyp)2=82+152 (hyp)2=289 hyp=±17 Since 0&amp;lt;θ&amp;lt;π2, then 0&amp;lt;2θπ. Since cot⁡2θ&amp;gt;0 in QI, then cos⁡2θ&amp;gt;0. So, we take hyp=17 cos⁡2θ=adjhyp cos⁡2θ=817

Find the vertices and foci of the conic section without axis rotation by analyzing the...

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