If `x=sectheta-tanthetaa n dy=cos e ctheta+cottheta,` then prove that `x y+1=y-xdot`

Explanation

To prove that \( xy + 1 = y - x \) given \( x = \sec \theta - \tan \theta \) and \( y = \csc \theta + \cot \theta \), we will follow these steps:

### Step 1: Calculate \( xy \)
We start by substituting the values of \( x \) and \( y \):

\[ xy = (\sec \theta - \tan \theta)(\csc \theta + \cot \theta) \]
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