[" 3.If "((x)/(a)sin theta-(y)/(b)cos theta)=1" and "((x)/(a)cos theta+(y)/(b)sin theta)=1" ,prove that "],[qquad ((x^(2))/(2)+(y^(2))/(12))=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)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y)/(b) cos theta =1 then

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

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

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