[20.,cos^(-1)x+cos^(-1)y=theta20%],[,x^(2)-2xy cos theta+y^(2)=sin^(2)theta]

If cos^(-1)x+cos^(-1)y=theta show that x^(2)-2xy cos theta+y^(2)=sin^(2)theta

If cos^(-1)x+cos^(-1)y= theta , show that x^2-2xycos theta+y^2 = sin^2 theta .

If cos ^(-1) x+ cos ^(-1) y= theta , show that x^(2)-2xycos theta +y^(2)=sin ^(2) theta

If cos^-1 x+cos^-1 y=theta , prove that x^2+y^2-2xycostheta=sin^2theta

If cos^(-1)((x)/(2))+cos^(-1)((y)/(3))=theta, prove that 9x^(2)-12xy cos theta+4y^(2)=36sin^(2)theta

If cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos theta+4y^(2)=36sin^(2) theta

A hyperbola having the transverse axis of length 2sin theta is confocal with the ellipse 3x^(2)+4y^(2)=12 .Then its equation is x^(2)csc^(2)theta-y^(2)sec^(2)theta=1x^(2)sec^(2)theta-y^(2)cos ec^(2)theta=1x^(2)sin^(2)theta-y^(2)cos^(2)theta=1x^(2)cos^(2)theta-y^(2)sin^(2)theta=1

If "cos"^(-1) x/(2)+"cos"^(-1) y/(3)=theta , then prove that 9x^(2)-12xy " cos "theta+4y^(2)=36" sin "^(2)theta