Simplify. \( \sin (-x) \csc x \) \( [?] \)

To simplify \( \sin (-x) \csc x \), we start with the identity for the sine function. We know that \( \sin(-x) = -\sin(x) \). Therefore, we can substitute: \[ \sin(-x) \csc x = -\sin(x) \csc x \] Next, we recall that \( \csc x = \frac{1}{\sin x} \). Substituting this in gives us: \[ -\sin(x) \cdot \frac{1}{\sin x} = -1 \] So, the simplified expression is: \[ -1 \]