question 9 of 10\nthe domain of y = csc x is given by x ≠ nπ.\na. true\nb. false

Explanation:

Step1: Recall csc x definition

$\csc x=\frac{1}{\sin x}$.

Step2: Determine domain - non - zero condition

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

Step3: Find when 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 $x$ such that $x\neq n\pi$, $n\in\mathbb{Z}$.

Answer:

A. True