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Chapter 9: Q. 12 (page 632)

What is the amplitude and period ofy=-4cos蟺虫?

Short Answer

Expert verified

The amplitude ofy=-4cos蟺虫isA=4and period isP=2

Step by step solution

01

Step 1. GIven data

The given function is

y=-4cos(蟺x)

02

Step 2. Amplitude

Compare the function with the standard cosine function

y=-Acos蠔胃y=-4cos蟺虫

So AmplitudeA=4

03

Step 3. period

Period of function y=Acos蠔蠎is 2蟺蠔

Period of y=-4cos蟺虫is

role="math" P=2蟺蠔P=2蟺蟺P=2

So period isrole="math" localid="1646860172855" P=2

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Most popular questions from this chapter

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(5,300掳)

To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace 胃by ________.

find each quantity if v=3i-5jand w=-2i+3j

v+w

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=2+4cos胃

Findzwand zw. Leave the answers in polar form.

role="math" localid="1646661399572" z=2+2iw=3-i
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