EXERCISE 3.3

Write the domain of the following trigonometric function:

$\sin x$

Write the domain 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:

$\cot x$

What is the domain of the function $f$ defined by $f\left(x\right)=\frac{1}{3-2\sin x}?$

In which quadrant does $x$ lie if $\sin x=\frac{2}{3}$ and $\cos x=-\frac{1}{3}$.

[Enter numerical value]

Find the domain and the range of the following function:

$5-4\sin 3x$

Find the domain and the range of the following function:

$\frac{1}{4-\cos 3x}$