If 2(cos (x-y)+cos (y-z)+cos (z-x))=-3, then : (a) cos x cos y cos z=1 (b) cos x+cos y+cos z=0 (c...

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If 2(cos (x-y)+cos (y-z)+cos (z-x))=-3, then :
(a) cos x cos y cos z=1
(b) cos x+cos y+cos z=0
(c) sin x+sin y+sin z=1
(d) cos 3 x+cos 3 y+cos 3 z=12 cos x cos y cos z

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