Products

Holooly Rewards

We are determined to provide the latest solutions related to all subjects FREE of charge!

Please sign up to our reward program to support us in return and take advantage of the incredible listed offers.

Enjoy Limited offers, deals & Discounts by signing up to Holooly Rewards Program

Holooly Ads. Manager

Advertise your business, and reach millions of students around the world.

Holooly Tables

All the data tables that you may search for.

Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

Holooly Sources

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

Holooly Help Desk

Need Help? We got you covered.

Chapter 5

Q. 5.3.3

Graphing another periodic function

Sketch the graph of y = -3 cos x for x in the interval [-2π, 2π] and find its amplitude.

Step-by-Step

Verified Solution

Make a table of ordered pairs for x in [0, 2π] to get one cycle of the graph. Note that the five x-coordinates in the table divide the interval [0, 2π] into four equal parts. Multiply the y-coordinates of y = cos x by -3 to obtain the y-coordinates for y = -3 cos x.

\begin{array}{r|c|c|c|c|c} x & 0 & \pi / 2 & \pi & 3 \pi / 2 & 2 \pi \\ \hline y=-3 \cos x & -3 & 0 & 3 & 0 & -3 \end{array}

Draw one cycle of y = -3 cos x through these five points, as shown in Fig. 5.45. Repeat the same shape for x in the interval [-2π, 0] to get the graph of y = -3 cos x for x in [-2π, 2π]. The amplitude is |0.5(3-(-3))| or 3.

Graphing another periodic function Sketch the graph of y = -3 cos x for x in the interval [-2π, 2π] and find its amplitude.