It seems like you want to simplify or analyze the expression $-3\csc(\theta) + \cot^2(\theta) + 3$.

Let’s break it down:

• The cosecant function, $\csc(\theta)$, is the reciprocal of the sine function: $\csc(\theta) = \frac{1}{\sin(\theta)}$.
• The cotangent function, $\cot(\theta)$, is the ratio of cosine to sine: $\cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}$, so $\cot^2(\theta) = \left(\frac{\cos(\theta)}{\sin(\theta)}\right)^2$.

Without more specific values for $\theta$, we can't simplify this expression to a specific numerical value, but you can work with this form depending on what you're asked to do.

If you want to express this in terms of $\sin(\theta)$ and $\cos(\theta)$, that would be possible as well.

Do you want further simplifications or evaluations for specific values of $\theta$?