Chapter 13.8, Problem 45PPSE

Solution

To sketch: The graph of the function $y=-\sec \left(\pi \theta \right)$ in the interval $0\text{ to }2\pi$ .

Given:

The trigonometric function is $y=-\sec \left(\pi \theta \right)$ .

Graph:

Construct a table of values of argument $\left(\theta \right)$ and the value of function $y=-\sec \left(\pi \theta \right)$ to obtain the graph of $y=-\sec \left(\pi \theta \right)$ by plotting and joining these points in the interval $0\text{ to }2\pi$ .

$\left(\theta \right)$	$0$	$1$	$2$	$3$	$4$	$5$	$6$
$y$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$

Therefore, the graph of the function is shown below.