Graphs of Trigonometric Functions

Draw the graph of the following function:

$2\cos 3x$

Also write its range and period.

Draw the graph of the following function:

$3\cos 2x$

Also write its range and period.

Draw the graph of the following function:

$\cos \frac{x}{2}$

Also write its range and period.

Draw the graph of the following function:

$2\sin 2x$

Also write its range and period.

Draw the graph of the following function:

$3\sin x$

Also write its range and period.

Draw the graph of the following function:

$\sin 3x$

Also write its range and period.

Find the domain and the range of the following function:

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

Find the domain and the range of the following function:

$5-4\sin 3x$