If the tangent at any point of an ellipse x2a2+y2b2=1, where a>b, makes angle of  inclinations α=5π6, with the major axis and angle β=π3 with the focal radius of  the point of contact then the eccentricity e of the ellipse is

If any tangent to any point of an ellipse x2a2+y2b2=1 where a>b makes angle of inclinations αwith the major axis and the an angle βwith the focal radius of the point of contact then the eccentricity of the ellipse is cosβcosα Hence the Eccentricity of the given ellipse is 13