If `sin(y+z-x),sin(z+x-y),"sin"(x+y-z)` are in A.P., then `t a n x ,tany ,tanz` are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

Explanation

To solve the problem, we need to show that if \( \sin(y+z-x), \sin(z+x-y), \sin(x+y-z) \) are in Arithmetic Progression (A.P.), then \( \tan x, \tan y, \tan z \) are also in A.P.

### Step-by-Step Solution:

1. **Understanding A.P. Condition**:
If three terms \( a, b, c \) are in A.P., then the condition is:
\[
c - b = b - a
...