cos x+cos y+cos z=0" and "sin x+sin y+sin z=

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

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

If cos x+cos y+cos alpha=0 and sin x+sin y+sin alpha=0, then cot ((x+y)/(2))

Let x,y,z in (0, (pi)/(2)) are first three consecutive terms of an arithmatic progression such that cos x + cos y + cos z =1 and sin x + sin y + sin z = (1)/(sqrt2), then which of the following is/are correct ?

lf_ (cos x + cos y-cos z = 0 = sin x + sin y + sin) then cos ((xy) / (2)) =

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

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(y-z)+cos(z-x)+cos(x-y)=-3/2, prove that cos x + cos y + cos z = 0 = sin x + siny + sinz.

cos (yz) + cos (zx) + cos (xy) = - (3) / (2) prove that cos x + cos y + cos z = 0 = sin x + sin y + sin