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Chapter 6: Q 12. (page 409)

Determine the amplitude and period of each function without graphing.

y=3cosx.

Short Answer

Expert verified

The amplitude is 3 and period isT=2蟺.

Step by step solution

01

Step 1. Given Information.

Determine the amplitude and period of each function without graphing.

y=3cosx.

02

Step 2. Evaluation.

For 蝇>0, the amplitude and period of y=Asin蝇xare given by

amplitude =A, Period =2蟺蝇.

On comparing, we get

Amplitude A=3.

Then, 蝇=1

Period=T=2蟺1=2蟺.

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