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[" 32.If "tan^(-1)((a+x)/(a))+tan^(-1)((...

[" 32.If "tan^(-1)((a+x)/(a))+tan^(-1)((a-x)/(a))=(pi)/(6)" ,then prove that "x^(2)=2sqrt(3)a^(2)],[" 33.If "u=cot^(-1)(sqrt(cos2 theta))-tan^(-1)(sqrt(tan2 theta))," then prove that ":sin u=tan^(2)theta.],[" 34.Prove that: "tan^(-1)a-tan^(-1)b=cos^(-1)[(1-ab)/(sqrt((1+a^(2))(1+b^(2))))]]

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