What is the equation of the midline of the sinusoidal function?[Enter the answer in the box]

Answer:[tex]y=0[/tex]Step-by-step explanation:We are asked to find the equation of mid-line of the given sinusoidal function.Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value. [tex]\text{Mid-line}=\frac{\text{Maximum value+Minimum value}}{2}[/tex]We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.Upon substituting these values in mid-line formula we will get,[tex]\text{Mid-line}=\frac{5+(-5)}{2}[/tex] [tex]\text{Mid-line}=\frac{5-5}{2}[/tex] [tex]\text{Mid-line}=\frac{0}{2}[/tex] [tex]\text{Mid-line}=0[/tex]Therefore, the equation of the mid-line of the given sinusoidal function is [tex]y=0[/tex].