Family of lines `x sec^(2) theta + y tan^(2)theta -2=0` for different real `theta`, is

The difference of the slopes of the lines x^(2)(sec^(2) theta- sin^(2) theta)-(2 tan theta)xy+y^(2) sin^(2) theta=0

If tan theta + sec theta = n, then sec ^(4) theta - tan ^(4) theta- 2 sec theta tan theta =

If sec^(2)theta=2+2tan theta, find tan theta

If sec^(2)theta=2+2tan theta, find tan theta

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

The difference of the tangents of the angles which the lines x^(2)(sec^(2) theta - sin^(2) theta)-2xy tan theta+y^(2)sin^(2) theta=0 makes with x axis is

x=a sec^(3)theta tan theta,y=b tan^(3)theta sec theta then sin^(2)theta=

x=a sec^(3)theta tan theta,y=b tan^(3)theta sec theta then sin^(2)theta

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

x = asec^(3) theta tan theta , y = tan^(3) theta sec theta then sin^(2) theta =