[" 8.If "cos^(-1)(x)/(2)+cos^(-1)(y)/(3)...

[" 8.If "cos^(-1)(x)/(2)+cos^(-1)(y)/(3)=alpha" ,then prove that "9x^(2)-12xy cos alpha+4y^(2)=36sin^(2)alpha],[" 9.Prove that "2tan^(-1)(sqrt((a-b)/(a+b))tan(theta)/(2))=cos^(-1)((a cos theta+b)/(a+b cos theta))]

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Prove that 2 tan^(-1) (sqrt((a-b)/(a+b)) "tan"(theta)/(2))=cos^(-1) ((a cos theta +b)/(a +b cos theta))

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

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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 then the maximum of 9x^(2)-12xy costheta + 4y^(2) is