10.2 Graphs of y = a sin bx and y = a cos bx
Period of a Function • Graphs of and • Important Values for Sketching
In graphing the function we see that the values of y repeat every units of x. This is because and so forth. For any function F, we say that it has a period P if For functions that are periodic, such as the sine and cosine, the period is the x-distance between a point and the next corresponding point for which the value of y repeats.
Let us now plot the curve This means that we choose a value of x, multiply this value by 2, and find the sine of the result. This leads to the following table of values for this function: ...
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