If our x-axis is 5pi/4 and 5pi/2 etc and our Amplitude is 4, our midline is 1 and our positive slope is at y=1 what is our period?

The period of a sinusoidal function can be found by calculating the distance between two consecutive x-intercepts or two consecutive maximum or minimum points. In this case, we can find the period by calculating the difference between 5π/2 and 5π/4.

Period = (5π/2) - (5π/4)
= 10π/4 - 5π/4
= 5π/4

Therefore, the period of the sinusoidal function is 5π/4.