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The graph of the function y = (sin x)^2 has the same amplitude 1, and the same period 2pi, as the graph of the function y = sin x. The only difference between them is that the part of the graph of y = sin x which is below the x-axis is reflected above x axis.
In order to graph the function y = (sin x)^2, we need to find the values of (x, y) for the five key points, where 0 ≤ x ≤ 2pi.
Values of (x, y) on y = (sin x)^2:
x = 0, y = 0
x = pi/2, y = 1
x = pi, y = 0
x = 3pi/2, y = 1
x = 2pi, y = 0
Plot these five key points and connect them with a smooth curve and graph one complete cycle of the given function.
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2
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