If `(sin^(-1) x)^(2) + (sin^(-1) y)^(2) + (sin^(-1) z)^(2) = (3 pi^(2))/(4)`, then find the minimum value of `x + y + z`

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then A=x^(2)+y^(2)+z^(2) . (sin^(-1)x)^(2)+(sin^(-1)y)^(2)+(sin^(-1)z)^(2)=(3pi^(2))/(4) , then B=|(x+y+z)_("min")| . Then the value of (A+B) is _____________ .

If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value of x^2+y^2+z^2 .

If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value of x^2+y^2+z^2 .

If sin^(-1) x + sin^(-1) y + sin^(-1) z = (3pi)/2 ",then find the value of " Sigma ((x^(101) + y ^(101))(x^(202)+y^(202)))/((x^(303)+y^(303))(x^(404)+y^(404)))

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

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

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

If sin^(-1)x+sin^(-1)y=(2pi)/(3), cos^(-1)x-cos^(-1)y=(pi)/(3) then the number of values of (x, y) is :

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