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in this video were going to focus on how to graph sine and cosine functions particularly with horizontal phase shifts but were going to start with some basic structures some basic equations and then were going to make it progressively harder so lets say if we want to graph lets start with the very basic y equals sine X the amplitude is 1 and for this graph the period is 2pi sine starts at the center goes up back to the middle down and then back to the middle and heres the period 2 pi the amplitude varies from 1 and negative 1 now lets go over the four types so lets say if we want to graph negative sine X negative sine X is going to look like this instead of going up it goes down first so negative sine goes down positive sine goes up now lets say if we want to graph and by the way this is going to be 2 pi and the amplitude is 1 lets say if we wish to graph cosine X cosine doesnt start at the center positive cosine starts at the top then it goes down and then back up and then
