A sine wave is also known as a sinusoid. The sine function that has an amplitude of 5, a midline of 2 and a period of 3/7 is 5Sin(16πx/3)+2.
A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.
Given the amplitude of the function is 5, the vertical shift is 3, and the period of 3/7. Therefore, the values of constants can be written as,
a = 5
b = (2π)/(3/7) = 14π/3
d = 2
Substituting the values in the sine function,
a sin b (x-c) + d
= 5 Sin(16π/3)(x-0) + 2
= 5 Sin(16πx/3) + 2
Hence, the sine function that has an amplitude of 5, a midline of 2 and a period of 3/7 is 5Sin(16πx/3)+2.
Learn more about Sine function:
https://brainly.com/question/12015707
#SPJ1
