Home
Class 12
MATHS
If x=cosec theta-sin theta and y=cosec^(...

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)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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^(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=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 - 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 " cosec"theta-sin theta=m and sec theta-cos theta=n , then prove that (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=1.

If cosec theta- sin theta = m and sec theta - cos theta = n , prove that: (m^(2)n)^(2/3)+(n^(2)m)^(2/3)=1 .