MAC1147 Lecture 6: 6.6 Sine and Cosine Notes
9 Mar 2017
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Document Summary
Provide a generalization to each of the key terms listed in this section. A function can be periodic when the the function has a repeating pattern. Both the sine and cosine functions are actually periodic since they both repeat every 2 units. A function"s period can be sometimes said to be the shortest recurring interval"s length to make it easier to tell and is also the smallest possible positive number/constant, which is normally labeled with p. Functions are normally periodic if there is a positive constant, which is normally labeled with p, for all of s to be in the function"s domain and such that the following occurs: This same occurs with both sine and cosine as seen by the following: f (s + p) = f (s) sin (s + 2 ) = sin (s) cos (s + 2 ) = cos (s)
