Chapter 12.8, Problem 61HP

To determine

Find the difference between the graph of both function.

Explanation of Solution

Given:

It is given in the question that the two functions are $y=3\sin 2\theta +1\&y=\sin \theta$ .

Graph:

The graph for both the functions will be:

  

Interpretation: Here, put all the function in the graphing calculator, it gives the required graph.

Since, $3\sin 2\theta +1$ is moved up one, has a narrower period and a greater amplitude than $\sin \theta$ .

Now, $3\sin 2\theta +1$ has more waves in the same amount of time as $\sin \theta$ and has greater between maximum and minimum points.