[" 2.If latus rectum of the ellipse "],[x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1" is "1/2" then "],[alpha,(0

If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1 is 1/2 then alpha=

If latus recturn of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1 is (1)/(2) then alpha(0

If 0 lt alpha lt (pi)/(2) and the eccentricity of the ellipse x^(2) tan^(2) alpha + y^(2) sec^(2) alpha = 1 is 1//2 , then alpha

If latus recturn of the ellipse x^2 tan^2 alpha+y^2 sec^2 alpha= 1 is 1/2 then alpha(0 lt alpha lt pi) is equal to

If latus recturn of the ellipse x^2 tan^2 alpha+y^2 sec^2 alpha= 1 is 1/2 then alpha(0 lt alpha lt pi) is equal to

tan2alpha-tanalpha(1+sec2alpha)=

Consider the ellipse x^(2)/(tan^(2)alpha)+y^(2)/(sec^(2)alpha)=1 where alphain(0,pi/2) . Which of the following quantities would vary as alpha varies?