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Chapter 6: Q. 15 (page 429)

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

Amplitude: 2

Period: 蟺

Phase shift:12

Short Answer

Expert verified

The obtained equation from the given information isy=2sin2x-1

Step by step solution

01

Step 1. Find the value of ω and ϕ

We know that, T=2蟺蝇

So,

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

T=2蟺蝇蟺=2蟺蝇蝇=2

We have:,

蠒蝇=12蠒2=12蝇=2蠒=1

02

Step 2. Writing the equation

The general sine equation is y=Asin蝇t-蠒.

Substituting A=2蝇=2蠒=1in the above equation, we get:

y=2sin2x-1

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Most popular questions from this chapter

The range of the sine function is _____.

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