If `x=asectheta+btantheta` and `y=atantheta+bsectheta` ,prove that : `x^2-y^2=a^2-b^2`.

If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+b^2=x^2+y^2

If x=asintheta and y=btantheta, then prove that (a^2)/(x^2)-(b^2)/(y^2)=1

Find dy/dx,x=asectheta,y=btantheta

x=a sin theta , y=btantheta so prove that a^2/x^2-b^2/y^2=1

If a+btantheta=secthetaandb-atantheta=2sectheta, then: a^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 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 sec theta,y=b tan theta, then prove that (x^(2))/(a^(2))-(y^(2))/(b^(2))=1

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