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Chapter 6: Q 11. Given Information. (page 409)

Determine the amplitude and period of each function without graphing.

y=2sinx.

Short Answer

Expert verified

The amplitude isA=2and period is2蟺.

Step by step solution

01

Step 1. Given Information.

Determine the amplitude and period of each function without graphing.

y=2sinx.

02

Step 2. Evaluation.

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

Amplitude =A

Period =T=2蟺蝇.

On comparing, we get

蝇=1.

The amplitude is A=2.

The period isT=2蟺1=2蟺.

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