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Find a Cartesian equation for the curve given by the polar equation r = 6 cos 0.

Find a Cartesian equation for the curve given by the polar equation r = 6 cos 0.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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**006** Find a Cartesian equation for the curve given by the polar equation \[ r = 6 \cos \theta \] 1. \((x - 3)^2 + y^2 = 9\) 2. \(x^2 + (y + 3)^2 = 9\) 3. \((x + 3)^2 + y^2 + 9 = 0\) 4. \(x^2 + (y + 3)^2 + 9 = 0\) 5. \((x + 3)^2 + y^2 = 9\) 6. \(x^2 + (y - 3)^2 = 9\) 7. \((x - 3)^2 + y^2 + 9 = 0\) 8. \(x^2 + (y - 3)^2 + 9 = 0\) --- **007** Find a polar representation for the curve whose Cartesian equation is \[ x^2 + (y + 1)^2 = 1 \] 1. \(r = 2 \cos \theta\) 2. \(r + 1 \sin \theta = 0\) 3. \(r = -\cos \theta\) 4. \(r = -\sin \theta\) 5. \(r + 2 \sin \theta = 0\) 6. \(r = 2 \sin \theta\) 7. \(r + 2 \cos \theta = 0\) 8. \(r + 1 \cos \theta = 0\)
Transcribed Image Text:**006** Find a Cartesian equation for the curve given by the polar equation \[ r = 6 \cos \theta \] 1. \((x - 3)^2 + y^2 = 9\) 2. \(x^2 + (y + 3)^2 = 9\) 3. \((x + 3)^2 + y^2 + 9 = 0\) 4. \(x^2 + (y + 3)^2 + 9 = 0\) 5. \((x + 3)^2 + y^2 = 9\) 6. \(x^2 + (y - 3)^2 = 9\) 7. \((x - 3)^2 + y^2 + 9 = 0\) 8. \(x^2 + (y - 3)^2 + 9 = 0\) --- **007** Find a polar representation for the curve whose Cartesian equation is \[ x^2 + (y + 1)^2 = 1 \] 1. \(r = 2 \cos \theta\) 2. \(r + 1 \sin \theta = 0\) 3. \(r = -\cos \theta\) 4. \(r = -\sin \theta\) 5. \(r + 2 \sin \theta = 0\) 6. \(r = 2 \sin \theta\) 7. \(r + 2 \cos \theta = 0\) 8. \(r + 1 \cos \theta = 0\)
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