" If "(x)/(acos theta)=(y)/(b sin theta)" and "(ax)/(cos theta)-(by)/(sin theta)=a^(2)-b^(2)" ,prove that "(x^(2))/(a^(2))+(y^(2))/(b^(2))=1

If (xcos theta)/a+(ysin theta)/b=1 and (ax)/(cos theta)-(by)/(sin theta)=a^2-b^2 ,"prove that" (x^2)/(a^2)+(y^2)/(b^2)=1 .

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

If (x)/(a)cos theta+(y)/(b)sin theta=1 and (x)/(a)sin theta-(y)/(b)cos theta=1 Prove that :(x^(2))/(a^(2))+(y^(2))/(b^(2))=2

If x(cos theta)/(a)+y(sin theta)/(b)=1 and x(sin theta)/(a)-y(sin theta)/(b)=1 then

If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y)/(b) cos theta =1 then

(x) / (a) cos theta + (y) / (b) sin theta = 1, (x) / (a) sin theta- (y) / (b) cos theta = 1 then (x ^ (2)) / (a ^ (2)) + (y ^ (2)) / (b ^ (2)) =

If x=a sin theta and y=b cos theta , then prove : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

If x=a sin theta and y=b tan theta, then prove that (a^(2))/(x^(2))-(b^(2))/(y^(2))=1