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

If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove that : (x^2)/(a^2)+(y^2)/(b^2)=2

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/acostheta+y/bsintheta=1,x/asintheta-y/bcostheta=1 ,' then prove that x/a^2 + y/b^2 =2'

If a costheta+bsintheta=m and a sintheta-bcostheta=n," then Prove that " a^(2)+b^(2)=m^(2)+n,

If ay costheta=bxsintheta and axsectheta-by cosectheta=a^2-b^2 ,prove that x^2/a^2+y^2/b^2=1

x/acostheta+y/bsintheta=1, x/asintheta-y/bcostheta=1 then x^2/a^2+y^2/b^2=

x/acostheta+y/bsintheta=1, x/asintheta-y/bcostheta=1 then x^2/a^2+y^2/b^2=

If x costheta-ysintheta=a and xsintheta+ycostheta=b , then prove that x^2+y^2=a^2+b^2 .

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)costheta+(y)/(b)sintheta=1&(x)/(a)sintheta-(y)/(b)costheta=1 . Then