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anonymous
 one year ago
x^2−y^2=3
Write the answer in the form r^2=f(t) where t stands for θ. Find r^2
anonymous
 one year ago
x^2−y^2=3 Write the answer in the form r^2=f(t) where t stands for θ. Find r^2

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0consider \(x=r\cos\theta,y=r\sin\theta\) we have $$x^2y^2=3\\(r\cos\theta)^2(r\sin\theta)^2=3\\r^2(\cos^2\theta\sin^2\theta)=3\\r^2\cos(2\theta)=3\\r^2=3\sec(2\theta)$$

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much your awesome!!!! I have some other calc questions if you can help?
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