What is our period if our midline is 1, amplitude is 1 and our x line is pi/4 and pi/2. There are no phase shifts and no horizontal shifts the centerline is 0.
If the midline is 1 and the amplitude is 1, this means that the graph oscillates around the midline by going 1 unit above and 1 unit below.
The period of a trigonometric function like sine or cosine is the distance it takes for one complete cycle. It can be calculated using the formula:
Period = (2π) / (angular frequency)
The angular frequency is a value that determines how quickly the function oscillates. In this case, since there are no phase shifts or horizontal shifts, the angular frequency is equal to 1.
Using the formula, the period is:
Period = (2π) / 1 = 2π
Therefore, the period is 2π.
The x-values pi/4 and pi/2 provided in the question represent points on the x-axis where the function is being evaluated. They do not affect the period.