If `cos^(-1)x+cos^(-1)y+cos^(-1)z=pi` and `x+y+z=(3)/(2)`, then show that, x=y=z.

If cos^-1 x +cos^-1y + cos^-1z = pi and x + y + z = 3/2 , then show that x = y = z.

if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then show that x=y=z.

If tan ^(-1) ""x + tan ^(-1) ""y + tan ^(-1) ""z=(pi)/(2) and x + y +z = sqrt(3) then show that x =y=z.

If cos^(-1)x + cos^(-1)y + cos^(-1)z = pi, then xy + yz +zx is equal to

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n prove t h a t x^2+y^2+z^2+2x y z=1

if cos^(-1)x+cos ^(-1)y+cos^(-1) z=pi prove that x^(2) +y^(2)+z^(2) +2xyz=1

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

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n (a) x^2+y^2+z^2+x y z=0 (b) x^2+y^2+z^2+2x y z=0 (c) x^2+y^2+z^2+x y z=1 (d) x^2+y^2+z^2+2x y z=1

If cosx + cosy + cosz = 0 "and" sinx + siny + sinz =0, "then show that" cos (x-y) + cos(y - z) + cos(z - x) = - 3/2.

If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y+z is also equal to 1/x+1/y+1/z (b) x y z x y+y z+z x (d) none of these