If `x , y , z` are in A.P., then `(sinx-sinz)/(cosz-cosx)` is equal to (a) `tany` (b) `coty` (c) `siny` (d) `coty`

Explanation

To solve the problem, we need to find the value of \(\frac{\sin x - \sin z}{\cos z - \cos x}\) given that \(x, y, z\) are in arithmetic progression (A.P.).

### Step-by-Step Solution:

1. **Understanding A.P.**:
Since \(x, y, z\) are in A.P., we can express this as:
\[
y - x = z - y
...