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

Find the number of positive integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)3 is

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].

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y/(sqrt(1+y^2)))=sin^(-1)(3/(sqrt(10)))

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y/(sqrt(1-y^2)))=sin^(-1)(3/(sqrt(10)))

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)y/(sqrt(1+y^2))=sin^(-1)3/(sqrt(10))

Integrate the functions tan^(-1)x

If x and y are positive integers such that tan^(-1)x+cot^(-1)y=tan^(-1)3 , then:

Solve tan^(-1) x + cot^(-1) (-|x|) = 2 tan^(-1) 6x

Solve : tan^(-1)( 1/2) = cot^(-1) x + tan^(-1)( 1/7)

The number of positive solution satisfying the equation tan^(-1)((1)/(2x+1))+tan^(-1)((1)/(4x+1))=tan^(-1)(2/(x^2)) is