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Title Generating the Sine Curve in the First Quadrant Using the Nsa  Form

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in this video we're going to focus on how to graph sine and cosine functions particularly with horizontal phase shifts but we're going to start with some basic structures some basic equations and then we're going to make it progressively harder so let's say if we want to graph let's 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 here's the period 2 pi the amplitude varies from 1 and negative 1 now let's go over the four types so let's 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 let's say if we want to graph and by the way this is going to be 2 pi and the amplitude is 1 let's say if we wish to graph cosine X cosine doesn't start at the center positive cosine starts at the top then it goes down and then back up and then

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