what is the domain of y = csc(x)?\nall real numbers\nall real numbers except nπ + $\frac{pi}{2}$, where n is…

Explanation:

Step1: Recall the definition of cosecant.

We know that $\csc(x)=\frac{1}{\sin(x)}$.

Step2: Determine when the function is undefined.

The function $\csc(x)$ is undefined when $\sin(x) = 0$.

Step3: Find the values of $x$ for which $\sin(x)=0$.

We know that $\sin(x)=0$ when $x = n\pi$, where $n\in\mathbb{Z}$ (set of all integers). So the domain of $y = \csc(x)$ is all real - numbers except $x=n\pi$, $n\in\mathbb{Z}$.

Answer:

all real numbers except $n\pi$, where $n$ is any integer