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If the tangent at any point of the ellip...

If the tangent at any point of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` makes an angle `alpha` with the major axis and an angle `beta` with the focal radius of the point of contact, then show that the eccentricity of the ellipse is given by `e=cosbeta/(cosalpha)`

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