If `y=(sin x)/(1+cos x)` then prove that `(dy)/(dx)=(1)/(1+cosx)`

Explanation

To prove that \(\frac{dy}{dx} = \frac{1}{1 + \cos x}\) for the function \(y = \frac{\sin x}{1 + \cos x}\), we will use the quotient rule for differentiation.

### Step-by-Step Solution:

1. **Identify the function**:
\[ y = \frac{\sin x}{1 + \cos x} \]
...