what is the domain of y = csc(x)?\no all real numbers\no all real numbers except nπ + π/2, where n is any…
what is the domain of y = csc(x)?\no all real numbers\no all real numbers except nπ + π/2, where n is any integer\no all real numbers except nπ, where n is any integer\no all real numbers greater than 1 or less than -1
Answer
Brief Explanations:
Recall that $\csc(x)=\frac{1}{\sin(x)}$. The function $\csc(x)$ is undefined when $\sin(x) = 0$. Since $\sin(x)=0$ at $x = n\pi$, where $n$ is an integer, the domain of $\csc(x)$ is all real - numbers except $n\pi$, where $n$ is an integer.
Answer:
all real numbers except $n\pi$, where $n$ is any integer