If x=`cosec theta -sin theta and y=sec theta-cos theta,` then show that `x^(2//3)+y^(2//3)=(xy)^(-2//3)`

If x=cosec theta-sin theta and y=sec theta-cos theta then prove that x^(2/3)+y^(2/3)=(xy)^(-2/3)

If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy=

If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy=

If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then x ^(2) +4y^(2)=

If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3) , then prove that a^(2)b^(2)(a^(2) + b^(2))= 1.

If 2y cos theta= xsin theta and 2x sec theta-y cosec theta=3 then x^2/4+y^2=

If "cosec " theta - sin theta = m, sec theta - cos theta =n , " then "(m^(2)n)^(2//3) + (mn^(2))^(2//3) =

if cot theta+tan theta=x and sec theta-cos theta=y, prove that (x^(2)y)^((2)/(3))-(xy^(2))^((2)/(3))=1