Stitz-Zeager_College_Algebra_e-book

First 3 we are not told whether or not x represents

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Unformatted text preview: d in Section 1.7 using some of the ‘common values’ of x in the interval [0, 2π ]. This generates a portion of the cosine graph, which we call the ‘fundamental cycle’ of y = cos(x). x 0 cos(x) 1 π 4 π 2 3π 4 2 2 π 5π 4 3π 2 7π 4 2π √ 0 √ − 2 2 −1 √ − 2 2 0 √ 2 2 1 (x, cos(x)) (0, 1) √ π , 22 4 π 2,0 √ 3π , − 22 4 y 1 π 4 (π, −1) √ 5π , − 22 4 3π 2 ,0 √ 7π , 22 4 (2π, 1) π 2 3π 4 π 5π 4 3π 2 7π 4 2π x −1 The fundamental cycle’ of y = cos(x). A few things about the graph above are worth mentioning. First, this graph represents only part of the graph of y = cos(x). To get the entire graph, we imagine ‘copying and pasting’ this graph end to end infinitely in both directions (left and right) on the x-axis. Secondly, the vertical scale here has been greatly exaggerated for clarity and aesthetics. Below is an accurate-to-scale graph of y = cos(x) showing several cycles with the ‘fundamental cycle’ plotted thicker than the others. The...
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