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(A) Find the Eccentricity and Directrix of the Conic r=15−4cos⁡θr = \frac { 1 } { 5 - 4 \cos \theta }

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(a) Find the eccentricity and directrix of the conic r=15−4cos⁡θr = \frac { 1 } { 5 - 4 \cos \theta } and graph the conic and its directrix.
(b) If this conic is rotated about the origin through and angle
 (a) Find the eccentricity and directrix of the conic  r = \frac { 1 } { 5 - 4 \cos \theta }  and graph the conic and its directrix.  (b) If this conic is rotated about the origin through and angle    , write the resulting equation and draw its graph. , write the resulting equation and draw its graph.

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