Thursday, May 14, 2015

Graphs of Sine and Cosine Functions

To graph Sine and Cosine functions, you need a unit circle. For graphing the important thing to remember is that the x coordinate represents the beta. The sine graph when the points are plotted looks like a letter s rotated to the side while the Cosine graph looks like a big U curve. The normal equation given for graphing Cosine and sine functions is y = Acos/sin(Bx-C) + D. A represents the amplitude which is 1/2 the overall height. The period is 2pi/B and B represents the compression or stretch of the curve depending on if it's between 0 and 1 or greater then 1. C/B represents the phase shift meaning the left or right movement on the graph. D is the vertical shift or the movement up and down on the graph which also could be found through dividing the average of the minimum and maximum points of the curve. 

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