If `tan^(-1)(1/y)=-pi+cot^(-1)y`, where `y=x^2-3x+2` then find the value of x.

If tan(cos^(-1)x)=sin(cot^(-1)""(1)/2) , then find the value of x.

If sin^(-1)x+sin^(-1)y+sin^(-1)z =(3pi)/2 , then find the value of x^2+y^2+z^2

If sin^(-1)x+sin^(-1)y =(2pi)/3 , then find the value of cos^(-1)x +cos^(-1)y

If (x+1,y-2)=(3,1) , find the values of x and y.

If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4 . then find the value of x.

If (-1)ltx, y, z le 1 such that sin ^(-1) x+sin ^(-1) y+sin ^(-1) z=(3 pi)/2 , find the value of x^(2000)+y^(2001)+z^(2002)-(9/(x^(2000)+y^(2001)+z^(2002)))

If (x+1, y-2)=(3,1) , find the values of x and y .

Let tan^(-1)y = tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x| le 1/sqrt3 . Then the value of y is

tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))=

If tan^-1(frac(x-1)(x-2))+tan^-1(frac(x+1)(x+2))=pi/4 , then find the value of x