If `2costheta-sintheta=x` and `costheta-3sintheta=ydot` Prove that `2x^2+y^2-2x y=5.`

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 costheta+sintheta=sqrt(2)costheta , then costheta-sintheta is

If sintheta+costheta=x then sintheta-costheta=?

Eliminate theta,if x=2 costheta-3sintheta y= costheta+2sintheta

Evaluate |(2costheta,-2sintheta),(sintheta,costheta)|

if sintheta+costheta=3/2 then find sintheta.costheta

Prove that (1+costheta+sintheta)/(1-costheta+sintheta)=cot(theta/2)

If x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta) , prove that (d^2x)/(d theta^2)=a(costheta-thetasintheta) , (d^2y)/(d theta^(2))=a(sintheta+thetacostheta) and (d^2y)/(dx^2)=(s e c^3theta)/(a\ theta)

lf costheta-sintheta=sqrt2sintheta prove that costheta+sintheta=sqrt2costheta .

If x=2costheta , y=3sintheta Find dy/dx .