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The number of positive integral solution...

The number of positive integral solutions of ` tan^(-1)x + cot^(-1)y= tan^(-1)3 ` is :

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STATEMENT-1 : If tan^2 (sin^-1x) > 1 then x in(-1-1/sqrt2)uu(1/sqrt(2).1). STATEMENT-2 : The number of positive integral solution of tan^-1 1/y+cot^-1(1/x)=cot^-1(1/3), where x/y < 1, is 2. STATEMENT -3 : If sin^-1 x=-cos^-1 sqrt(1-x^2) and sin^-1 y=cos^-1 sqrt(1-y^2), then the exact range of (tan^-1 x+ tan6-1 y) is [-pi/4,pi/4].