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Q. 59

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Precalculus Enhanced with Graphing Utilities

Found in: Page 410

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Write the equation of a sine function that has the given characteristics.
Amplitude: $3$
Period: $π$

Equation of a sine function is $y = \pm 3 \sin (2 x)$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

We have to write the equation of a sine function that has:

$A = 3 T = π$

Step 2. Find the equation of a sine function

To find the equation, refer the form $y = A \sin (ω x)$

and role="math" localid="1646330674044" $ω = \frac{2 π}{T}$

Solving for $ω$ ,

$ω = \frac{2 π}{T} ω = \frac{2 π}{π} ω = 2$

Substitute the values,

We have role="math" localid="1646330752384" $y = \pm 3 \sin (2 x)$

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