If `(asectheta, btantheta)` and `(asecphi, btanphi)` be two coordinate of the ends of a focal chord passing through `(ae,0)` of `x^2/a^2-y^2/b^2=1` then `tan(theta/2)tan(phi/2)` equals to

If (a sec theta,b tan theta) and (a sec phi,b tan phi) be two coordinate of the ends of a focal chord passing through (ae,0) of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 then tan((theta)/(2))tan((phi)/(2)) equals to

If (a sec theta;b tan theta) and (a sec phi;b tan phi) are the ends of the focal chord of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 then prove that tan((x)/(a))tan((phi)/(2))=(1-e)/(1+e)

IF alpha , beta are eccentric angles of end points of a focal chord of the ellipse x^(2)/a^(2) + y^(2)/b^(2) =1 then tan(alpha /2) tan (beta/2) is equal to

If theta_(1) and theta_(2) are the parameters of the extremities of a chord through (ae,0) of a hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 then tan((theta_(1))/(2))tan((theta_(2))/(2))=

If the chord through the points (a sec theta, b tan theta) and (a sec phi, b tan phi) on the hyperbola x^2/a^@ - y^2/b^2 = 1 passes through a focus, prove that tan theta/2 tan phi/2 + (e-1)/(e+1) = 0 .

If (a sec alpha,b tan alpha) and (a sec beta ,b tan beta) be the ends of a chord of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passing through the focus (ae,0) then tan (alpha/2) tan (beta/2) is equal to

If theta=60^(@) , then (1+tan^(2)theta)/(2tan theta) is equal to