what would be the period of a graph with an amplitude of 1 midline of one and horizontel of pi/4 and pi/2 etc?
The period of a wave is the length of one complete cycle of the wave. It can be determined using the formula:
Period = 2π / frequency
Given the information provided, we can find the period using the horizontal displacement, which corresponds to the frequency of the graph.
If the horizontal displacement (or phase shift) is π/4, then the frequency is 1 / (π/4) = 4/π.
Using the formula for period:
Period = 2π / (4/π)
= 2π^2 / 4
= π/2
So, the period of the graph is π/2.