L12_blanks - Day 14 Lecture 12 for 2/22/2011 Graphing Sine...

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1 Day 14 Lecture 12 for 2/22/2011 Graphing Sine and Cosine, with V/H SCR and Translations …Last Time in MAC1114… We examined the differences between and . 1) The _______________ by a on the outside, causes the original y -coordinates to become _______________ by a . 2) The _______________ by b on the inside, causes the original x -coordinates to become _______________ by b . Since the trig. Functions are periodic it helps to always know one cycle (or one period) of the graph. One cycle of occurs when t satisfies . So if then… So one cycle occurs on the interval _________ with period ______. (Note: All of this is True for Cosine as well.) Slide: 2 of ?? is 0
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2 …Now, the exciting conclusion… to L11-Ex4 Find the Amplitude and period of each function and Graph. Slide: 3 of ?? is 0 Horizontal Translations Applying a horizontal translation (a shift right or left) to the graph of a periodic function will not change the fact that the graph repeats. So if one cycle of
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This note was uploaded on 08/01/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.

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L12_blanks - Day 14 Lecture 12 for 2/22/2011 Graphing Sine...

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