The image you uploaded contains the trigonometric expression:

$\frac{1}{\sin(\theta) - \sec(\theta)}$

Let me know if you'd like me to solve or simplify this expression, or if you'd like a step-by-step explanation!

Would you like any details or have questions?

Here are 5 related questions to explore:

1. How do we simplify expressions involving $\sec(\theta)$ and $\sin(\theta)$?
2. What are the trigonometric identities for $\sec(\theta)$ and $\sin(\theta)$?
3. How do you solve trigonometric equations involving secant and sine?
4. What are the domain restrictions for trigonometric expressions?
5. How do you evaluate trigonometric functions at special angles (e.g., $30^\circ$, $45^\circ$)?

Tip: Remember that $\sec(\theta)$ is the reciprocal of $\cos(\theta)$, i.e., $\sec(\theta) = \frac{1}{\cos(\theta)}$.