Solve the following differential equation:`(dy)/(dx)+(cosxsiny)/(cosy)=0`

Explanation

To solve the differential equation \(\frac{dy}{dx} + \frac{\cos x \sin y}{\cos y} = 0\), we will follow these steps:

### Step 1: Rearranging the Equation
We start by rearranging the differential equation to isolate \(\frac{dy}{dx}\):
\[ \frac{dy}{dx} = -\frac{\cos x \sin y}{\cos y} \]

...