The expression in the image appears to be:

$\frac{1}{\sin \theta} - \frac{\cot^2 \theta}{1 + \csc \theta}$

Would you like me to simplify this expression or help with something specific about it? Let me know if you'd like further details.

Here are 5 related questions to expand your understanding:

1. How can we express $\cot^2 \theta$ in terms of sine and cosine?
2. What is the identity for $\csc \theta$ in terms of sine?
3. How would you simplify $\frac{1}{\sin \theta}$ using trigonometric identities?
4. Can $\cot^2 \theta$ be simplified using any fundamental trigonometric identity?
5. What is the common denominator for combining these two terms?

Tip: The cotangent function can be written as $\cot \theta = \frac{\cos \theta}{\sin \theta}$, which is helpful when simplifying expressions involving both cotangent and sine functions.