If `cottheta+tantheta=x` and `sectheta-costheta=y ,` prove that `(x^2y)^(2/3)-(x y^2)^(2/3)=1`

If cottheta+tantheta=xand sectheta-costheta=y , then

If x=sectheta-tantheta , and y=cosectheta+cottheta , then

If x ="cosec"theta - sin theta and y=sectheta - costheta , then the value of x^(2)y^(2)(x^(2) + y^(2) + 3) is:

If x=sectheta "and " y=cosec theta +cottheta , then prove that xy+1=y-x .

If sintheta=x and sectheta=y , then tantheta=?

If ((x)/(a) sin theta -(y)/(b) costheta )=1 and ((x)/(a)costheta +(y)/(b) sin theta)=1 , prove that ((x^(2))/(a^(2))+(y^(2))/(b^(2)))=2.

If y=x+(1)/(y) prove that (x^(2)-y^(2)+3)((dy)/(dx))=1

If y=2sectheta and x=3tantheta then (x^(2))/(9)-(y^(2))/(4) is

If x=sectheta-tantheta, y=sectheta+tantheta , then the relation between x and y is: