If `x=sectheta-costheta` and `y=sec^n theta- cos^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 =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=cos ec theta-sin theta;y=cos ec^(n)theta-sin^(n)theta then show that (x^(2)+4)((dy)/(dx))^(2)-n^(2)(y^(2)+4)=0

If x=sec theta-cos theta and y=sec^(3)theta-cos^(3)theta then the value of ((dy)/(dx))^(2) at x=0

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

If x=cos theta-cos2 theta,y=sin theta-sin2 theta then (dy)/(dx) is