My question says to find the range of the following functions:
$y = \csc x$
$y = \sec x$
$y = \cot x$
Only I don't know what they mean by range and how to find the answer.
My question says to find the range of the following functions:
$y = \csc x$
$y = \sec x$
$y = \cot x$
Only I don't know what they mean by range and how to find the answer.
The range is all the $y$-values the functions can possibly take. To get a feel for the range you can graph the function or plug in a few points. But that doesn't prove anything.
To find the range of $\csc(x) = \frac{1}{\sin(x)}$, remember that
$\sin(x)$ can only lie between $-1$ and $1$, but also includes $0$.
If you consider only positive values of $\sin(x)$, $\frac{1}{\sin(x)}$ gets smaller the bigger $\sin(x)$ gets. It can't go below $1$ since $\sin(x)$ can't be greater than $1$.
Try doing the rest yourself! Hope that helped