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

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

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) =alpha then prove that 9x^2-12xycosalpha+4y^2=36sin^2alpha .

Prove the followings : If "cos"^(-1)x/2+"cos"^(-1)y/3=theta then 9x^(2)-12xycostheta+4y^(2)=36sin^(2)theta .

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

If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(2)=

If cos^-1 (x/2)+cos^-1(y/3)=theta, then (x^2-12xycostheta+4y^2= (A) 36 (B) -36sin^2theta (C) 36sin^2theta (D) 36cos^2theta