Write the domain of the following trigonometric function:

$\mathrm{cosec}x$

Write the range of the following trigonometric function:

$\sin x$

Write the range of the following trigonometric function:
$\cos x$

Write the range of the following trigonometric function:
$\tan x$

Write the range of the following trigonometric function:

$\cot x$

Write the range of the following trigonometric function:
$\sec x$

Write the range of the following trigonometric function:

$cosecx$

Find the range of the following function:

$f\left(x\right)=2-3\cos x$