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

cos x + cos y + cos z = 0 and sin x + sin y + sin z, then cos ^(2) (( x-y)/( 2)) =

If cos x + cos y + cos z =0 = sin + sin y +sin z then tan (x-y) =

lf cos x + cosy-cos z = 0 = sin x + sin y + sin z then cos((x-y)/2)=

lf cos x + cosy-cos z = 0 = sin x + sin y + sin z then cos((x-y)/2)=

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

If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0 , then cot((x+y)/2)=

If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0 , then cot((x+y)/2)=

If cosx + cosy + cosz = 0 = sinx + siny + sinz ,then possible value of cos((x-y)/2) is (A) 4 3 1 2 (B) 4 3 2 1 (C) 3 4 2 1 (D) 3 4 1 2

If sin x + sin y + sin z = 0 and cos x + cos y + cos z = 0 then prove that cot (x+y)/2 = cot z and cos (x-y)/2 = pm 1/2

If cosx+cosy+cosalpha=0 and sinx+siny+sinalpha=0 then cot((x+y)/2)=