Chapter 5, Problem 6CT

To determine

To draw:

The graph of the given form

Explanation of Solution

Given:

The equation is

  $\begin{array}{l}{y}_1=\cos x+\sin x\tan x\\ y_2=\sec x\end{array}$

Concept used:

  $\begin{array}{l}{y}_1=\cos x+\sin x\tan x\\ y_1=\cos x+\sin x\times \frac{\sin x}{\cos x}\\ y_1=\frac{{\cos }^{2}x+{\sin }^{2}x}{\cos x}\end{array}$

Calculation:

To draw the table

  $\begin{array}{l}{y}_1=\cos x+\sin x\tan x\\ y_2=\sec x\end{array}$

Test one point in each of the region formed by the graph

If the point satisfies the inequality then shade the entire region to denote that every point in the region satisfies the inequality

$x-axis$	$-2\pi$	$0$	$2\pi$	$-\pi$	$\pi$
$y-axis$	$1$	$1$	$1$	$-1$	$-1$

To draw the graph