If `x=cosec theta-sin theta ; y= cosec^n theta -sin^n theta,` then show that `(x^2+4)((dy)/(dx))^2-n^2(y^2+4)=0`

If =csc theta-sin theta and y=csc^(n)theta-sin^(n)theta then show that (x^(2)+4)((dy)/(dx))^(2)=n^(2)(y^(2)+4)

if x = sec theta - cos theta and y = sec^n theta - cos^n theta , then show that (x^2+4)(dy/dx)^2 = n^2(y^2+4)

If x = "cosec" theta - sintheta, y = "cosec"^(n)theta - sin^(n) theta then (x^2+4)((dy)/(dx))^2 -n^2y^2 =

If x = sec theta - cos theta, y = sec^n theta - cos^n theta , then show that (x^2 + 4) (dy/dx)^2 = n^2 (y^2 + 4)

If x=cosec theta-sin theta and y=cosec^(n)theta-sin^(n) theta , prove that, (x^(2)+4)((dy)/(dx))^(2)=n^(2)(y^(2)+4) .

If x=sec theta-cos theta and y=sec^(n)theta-cos^(n)theta then show that (x^(2)+4)((dy)/(dx))^(2)=n^(2)(y^(2)+4)

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)