Write the equation of a sine function that has the following characteristics. Amplitude: 4. Period: 7pi. Phase shift: -1/3

Tirimwb 2022-08-01 Answered
Write the equation of a sine function that has the following characteristics.
Amplitude: 4, Period: 7 π Phase shift: 1 3
Type the appropriate values to complete the sine function.
y = 4 sin ( ? x + ? )
(Use integers or fractions for any numbers in the expression. Simplify your answers.)
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Answers (1)

salumeqi
Answered 2022-08-02 Author has 15 answers
Step 1
Write the equation of a sin function that has the following characteristics.
Amplitude = 4 ( 1 )
Period = 7 π ( 2 )
Phase shift = 1 3 ( 3 )
Since function is
y = A sin ( w x α )
A is Amplitude
By Formula
Period = 2 π w = 7 π from eq (2)
Step 2
w = 2 7 ( 4 )
Phase shift = α w
from eq (3)
1 2 = α w
Step 3
from eq (4) put w value
1 3 = α 2 7
3 α = 2 7
α = 2 21
The appropriate values of complat the sine function
y = 4 sin 2 7 x + 2 21
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