If `cos^(-1)x+cos^(-1)y+cos^(-1)z=pi`, prove that `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 cos^(-1)x+cos^(-1)y+cos^(-1)=pi,p rov et h a tx^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 cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+2x y z=1 2(sin^(-1)x+sin^(-1)y+sin^(-1)z)=cos^(-1)x+cos^(-1)y+cos^(-1)z x y+y z+z x=x+y+z-1 (x+1/x)+(y+1/y)+(z+1/z)geq6

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

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , prove that x^(2)-y^(2)+z^(2)-2xz sqrt(1-y^(2))=0

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 = 3pi, then xy + yz +zx is equal to

If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2) , then x+y+z=

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , show that x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)