1-cos2\ 1-sin2 + ctg2+ 1\cos

It looks like you're trying to simplify an expression that combines trigonometric functions. However, the notation is a little unclear. It appears you might want to simplify the following expression:

\[ \frac{1 - \cos^2(x)}{1 - \sin^2(x)} + \cot^2(x) + \frac{1}{\cos(x)} \]

Let's break it down step by step:

1. Using Trigonometric Identities:

   • We know that \(1 - \cos^2(x) = \sin^2(x)\) (Pythagorean identity).
   • Similarly, \(1 - \sin^2(x) = \cos^2(x)\).

2. Substituting these identities into the expression: \[ \frac{\sin^2(x)}{\cos^2(x)} + \cot^2(x) + \frac{1}{\cos(x)} \]

3. Noting that \(\cot^2(x) = \frac{\cos^2(x)}{\sin^2(x)}\): \[ \frac{\sin^2(x)}{\cos^2(x)} + \frac{\cos^2(x)}{\sin^2(x)} + \frac{1}{\cos(x)} \]

4. Adding \(\frac{\sin^2(x)}{\cos^2(x)}\) and \(\frac{\cos^2(x)}{\sin^2(x)}\):

   • This expression can be analyzed further, but it is in a simpler form now.

The expression could be combined algebraically or evaluated for specific values of \(x\) based on context.

If you meant something else, please clarify your expression so I can assist you properly!