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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
7 Dec 2021

Given information

The first graph in the figure is that of as displayed by a graphing calculator. It is inaccurate and so, to help explain its appearance, we re plot the curve in dot mode in the second graph. What two sine curves does the calculator appear to be plotting? Show that each point on the graph of that the chooses to plot is in fact on one of these two curves. (The’s graphing window is pixels wide,)

Calculation:

Step-by-step explanation

Step 1.

The graphs are drawn in the interval .

The number of gaps between two pixels is .

The distance between pixels is given by the following relation:

The values of the plots deawn by calulator are given by .

For the curve , the actual points plotted by the calculator are as follows:

Rewrite as follows:

                       

Now use the formula

Hence, from this it is observe that the values and the points plotted for lie on either or .

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