Question

Write a sine function that has a midline of 4 , an amplitude of 3 and a period of 2/3

Answer 1

Given a midline of 4, an amplitude of 3 and a period of 2/3 we are asked to write a sine function.

Step-by-step explanation

The equation of a sine function is given as

`y=Asin((2\pi x)/(T))+B`

Where A is the amplitude, T is the period and B is the midline of the sine function.

Therefore, we will have;

`\begin{gathered} y=3sin(2\pi x/(2)/(3))+4 \\ y=3sin(2\pi x*(3)/(2)_)+4 \\ y=3s\imaginaryI n(3\pi x)+4 \end{gathered}`

Answer:

`y=3s\imaginaryI n(3\pi x)+4`