Question: ExampleVideo ExampleIf the ellipse defined by the equation below is rotated counterclockwise through an angle 38 about the origin, find a polarequation and graph the

ExampleVideo ExampleIf the ellipse defined by the equation below is rotated counterclockwise through an angle 38 about the origin, find a polarequation and graph the resulting ellipse.r=103-2cos()SolutionWe get an equation of the rotated ellipse by replacing within the equation above.So the new equation isr=We use this equation to graph the rotated ellipse in the figure above. Notice that the ellipse has been rotated about its leftfocus at the origin.

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