Chapter 4, Problem 64RE

To determine

To Find:

Sketch the graph of $5\sin (\frac{2\chi }{5})$

Explanation of Solution

Given information:

The function $f(\chi )$ is $5\sin (\frac{2\chi }{5})$ .

Graph:

The graph of the $5\sin (\frac{2\chi }{5})$

Is provided below:-

  

Where x-axis and y-axis are on real number line.

Interpretation:

The general information of the graph along with description is provided below.

The graph of $\sin x$ is provided below

  

Where x-axis and y-axis are on real number line.

When we multiplied $\chi$ by $2$ , Then $\sin 2x$ ,the graph will more shrink,the graph is provided below

  

Where x-axis and y-axis are on real number line.

Again, if we divide $2\chi$ by $5$ . Then graph will again contrast to each other, the graph is provided below

  

Where x-axis and y-axis are on real number line.

If we multiply $\sin (\frac{2\chi }{5})$ by $5$ then overall, graph will shrink to its maximum, the graph is provided below

  

Where x-axis and y-axis are on real number line.