The equations of the sine function with Amplitude = 4, and Period = 8·π are y = 4·sin(x/4) and y = cos(x/4)
The correct option is therefore;
A. There are two equations with A > 0, y = 4·sin(x/4), and y = 4·cos(x/4)
The steps used to find the equation of the sine function can be presented as follows;
The amplitude of the sine function, A = 4
The period of the sine function = 8·π
Therefore; ω = 2·π/8·π
ω = 1/4
Expressing the equation in the form y = A·sin(ω·x), we get;
y = 4·sin(x/4)
Expressing the equation in the form y = A·cos(ω·x), we get;
y = 4·cos(x/4)
Therefore, there are two equations with A > 0, which are; y = 4·sin(x/4), and y = 4·cos(x/4)