A polar equation is given. 10 r 3 - 2 cos(8) (a) Find the eccentricity. Use this Information to determine the type of the conic section. (b) Find the equation of the directrix. (c) Sketch the curve. Show the exact rectangular coordinates of the vertices and the y-intercepts. Show the directrix and its x-intercept.First find the Interval of 8 on which the given polar curve traces the loop In the 2nd quadrant (the loop that encloses the shaded leaf). Then, find the area of this leaf ( the shaded part) by performing a definite Integral. r = V cos(30)