Find the integral`int(sec^2x)/(cose c^2x)dx`

Explanation

To solve the integral \( \int \frac{\sec^2 x}{\csc^2 x} \, dx \), we can follow these steps:

### Step 1: Rewrite the integrand using trigonometric identities
We start by rewriting the integrand in terms of sine and cosine:
\[ \frac{\sec^2 x}{\csc^2 x} = \frac{\frac{1}{\cos^2 x}}{\frac{1}{\sin^2 x}} = \frac{\sin^2 x}{\cos^2 x} = \tan^2 x \]

...