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(Solved): Example Video Example If the ellipse defined by the equation below is rotated counterclockwise throu ...
Example
Video Example
If the ellipse defined by the equation below is rotated counterclockwise through an angle (3\pi )/(8) about the origin, find a polar
equation and graph the resulting ellipse.
r=(10)/(3-2cos(\theta ))
Solution
We get an equation of the rotated ellipse by replacing \theta with
in the equation above.
So the new equation is r=
We use this equation to graph the rotated ellipse in the figure above. Notice that the ellipse has been rotated about its left
focus at the origin.