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If x , y ,z in [-1,1] such that cos^(-1)...

If `x , y ,z in [-1,1]` such that `cos^(-1)x+cos^1y+cos^(-1)z=3pi,`
then find the values of (1) `x y+y z+z y`
and (2) `x(y+z)+y(z+x)+z(x+y)`

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`cos^(-1)x+cos^1y+cos^(-1)z=3pi`
`x=-1, y=-1, z=-1`
(1)`xy+yz+zx=3`
(2)`x(y+z)+y(z+x)+z(x+y)=0`
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