If `xsin^3theta+ycos^3theta=sinthetacosthetaa n dxsintheta=ycostheta,` prove that `x^2+y^2=1`

If xsin^3theta+ycos^3theta=sinthetacostheta and xsintheta=ycostheta, prove that x^2+y^2=1

If xsin^3theta+ycos^3theta=sinthetacostheta and xsintheta-ycostheta=0 ,show that x^2+y^2=1

If x sin^(3)theta+y cos^(3)theta=sin theta cos theta andx sin theta=y cos theta prove that x^(2)+y^(2)=1

If xsin^(3)theta+ycos^(3)theta=sinthetacostheta and xsintheta=ycostheta , then x^(2)+y^(2) is

if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos theta =0 prove that x^2+y^2=1

If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta = y cos theta , prove that x^(2) + y^(2) = 1.

If xsin^(3) theta +y cos^(3) theta=sin theta cos theta and x sin theta =y cos theta , then prove that x^(2)+y^(2)=1 .

If 2ycos theta =x sin theta and 2xsec theta-ycosec theta =3 show that x^2+4y^2=4

If x = sin theta + cos theta sin 2 theta " and " y = cos theta + sin theta sin 2 theta,"prove that " (x+y)^(2//3) + (x-y)^(2//3) = 2

If x = 3sin theta + 4cos theta and y = 3cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .