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Unformatted text preview: Graphs of y = Asin(Bx – C) and y = Acos(Bx – C) SINE AND COSINE GRAPHS Here are the basic sine and cosine graphs for two periods. We need to analyze these so that we can graph the modifications of these kinds of functions. y = sin(x) Period = 2π Amplitude = 1 Max = 1, Min = 1 xintercepts: ( n π, 0) yintercept: (0, 0) y = cos(x) Period = 2π Max = 1, Min = 1 Amplitude = 1 xintercepts: ( 29 ( 29 , 2 , , 2 2 3 2 n n π π π π + + yintercept: (0, 1) ). sin( 3 1 of graph Sketch the x y = Begin with the basic sine function: Now scale the graph. We notice that the amplitude of the graph has changed, changing the range of the function. ). cos( 2 of graph Sketch the x y = Begin with the basic cosine function: Now scale the graph. The amplitude of the graph has changed, changing the range of the function. ). cos( 2 of graph Sketch the x y = We just sketched y = 2cos(x): To get the new graph, reflect about the xaxis. ). 2 sin( of graph Sketch the x y = π π ≤ ≤ ⇒ ≤ ≤...
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This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.
 Fall '08
 GARDNER
 Calculus, PreCalculus

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