Chapter 8, Problem 44RE

To determine

To find: Thegraph for the function $y=2\sin x+\cos 2x$ .

Answer to Problem 44RE

The required graph is shown in Figure 3

Explanation of Solution

Given:

The given function is $y=2\sin x+\cos 2x$ .

Calculation:

Consider the first function is,

  $y=2\sin x$

The graph for the above function is shown in Figure 1

  

Figure 1

Consider the second function is,

  $y=\cos 2x$

The graph for the above function is shown in Figure 2

  

Figure 2

From the method of adding y coordinates the graph for the function $y=2\sin x+\cos 2x$ is shown in Figure 3

  

Figure 3