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Chapter 6: Q. 62 (page 410)

Write the equation of a sine function that has the given characteristics.
Amplitude: $4$
Period: $1$

Short Answer

Expert verified

Equation of a sine function is

$y = \pm 4 \sin (2 πx)$

Step by step solution

01

Step 1. Given information

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

$A = 4 T = 1$

02

Step 2. Find the equation of a sine function

To find the equation, refer the form

$y = A \sin (ω x)$

and $ω = \frac{2 π}{T}$

$ω = \frac{2 π}{T} ω = \frac{2 π}{1} ω = 2 π$

Substitute the values,

We have $y = \pm 4 \sin (2 πx)$

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Most popular questions from this chapter

Which angle has the larger measure: 1 degree or 1 radian? Or are they equal?

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$210 °$

Use a calculator to find the approximate value of each expression rounded to two decimal places: $\csc \frac{5 π}{13}$

The equation $x^{2} + 2 x = {(x + 1)}^{2} - 1$ is an identity.

Convert angle in radian to degree-

$- \frac{2 π}{3}$

See all solutions

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