Sin wave of the function Y= SinX .
Basic sin waves are waves with an amplitude or |a| of 1, a period of 360 degrees(the period in which the pattern or cycle starts to repeat itself), passes through the point 0,0 (origin) and reaches the first maximum positive point at 90 degrees. This is superimposed on a 2-dimensional (X,Y) cartesian regular graph. If we rotate it or reflect it over the y or x axis we get the same reflected pattern. We can find the period with 360/b. "b" being 1 and the coefficient of the "x" term.
This graph is periodic and infinite. This means we can use an infinite amount of angles (positive as well as negative) to show the graph of the sin curve. We can also use this in sciences -per se to dictate a population of bacteria over a length of time, which, most likely, will have a much more complex equation that comes with it. These are common graphs when working with electricity and sound. We can also play with period, amplitude and translation to give the curve much different appearances.