Chapter 6: Q. 59 (page 410)

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

Short Answer

Expert verified

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

Step by step solution

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 haverole="math" localid="1646330752384" $y = \pm 3 \sin (2 x)$

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the equation of a sine function

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the equation of a sine function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Discrete Mathematics

Calculus

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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