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Chapter 6: Q. 17 (page 429)

Write the equation of a sine function that has the given characteristics.

Amplitude:3

Period:蟺2

Phase shift:-13

Short Answer

Expert verified

The obtained equation from the given information is y=3sin23x+29

Step by step solution

01

Step 1. Find the value of ϕ and ω

We know that, T=2蟺蝇.

So,

Substituting T=3蟺in the above equation, we get:

T=2蟺蝇3蟺=2蟺蝇蝇=23

We have:

蠒蝇=-13蠒23=-13蠒=-29

02

Step 2. Find the equation 

The general sine function is y=Asin蝇x-蠒.

Substituting the value 蝇=23蠒=-13, we get:

y=3sin23x-(29)y=3sin23x+29

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Most popular questions from this chapter

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