If `sin(y+z-x), sin (z+x-y), sin (x+y-z)` be in A.P., prove that `tanx, tany, tanz` are also in A.P.

If sin(y+z-x),sin(z+x-y),sin(x+y-z) are in A.P.then tan x,tan y, tan z are in (a)A.P.(b) G.P.(c) H.P.(d) none of these

If reciprocals of (y-x),2(y-a), (y-z) are in A.P., prove that x-a,y-a,z-a are in G.P.

If x,y,z are in AP and tan^(-1)x,tan^(-1)y,tan^(-1)z are also in AP, then

If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are alos in A.P. then

If reciprocals of (y-x),2(y-a),(y-z) are in A.P then prove that x-a, y-a, z-a are in G.P

Suppose a is a fixed real number such that (a - x)/(px) = (a - y)/(qy) = (a - z)/(rz) If p,q,r, are in A.P., then prove that x,y,z are in H.P.