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Exercises Trigonometry

Example 14 from Precalculus, 7.6 Modeling with Trigonometric Functions

Graphing an Oscillating Cosine Curve

Graph the function $f (x) = \cos (2 π x) \cos (16 π x) .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The graph produced by this function will be shown in two parts. The first graph will be the exact function $f (x)$ (see Figure 22), and the second graph is the exact function $f (x)$ plus a bounding function (see Figure 23. The graphs look quite different.

Figure 22

Figure 23

How did it go?

PreviousFinding the Value of the Damping Constant c According to the Given Criteria

From Precalculus (1st edition) by OpenStax (Rice University), section 7.6, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.