If `x_1` and `x_2` are two distinct roots of the equation `acosx+bsinx=c ,` then `tan((x_1+x_2)/2)` is equal to (a)`a/b` (b) `b/a` (c) `c/a` (d) `a/c`

Explanation

To solve the problem, we need to find the value of \( \tan\left(\frac{x_1 + x_2}{2}\right) \) given the equation \( a \cos x + b \sin x = c \) where \( x_1 \) and \( x_2 \) are two distinct roots.

### Step-by-Step Solution:

1. **Start with the given equation:**
\[ a \cos x + b \sin x = c \]
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