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 xaxis. Secondly, the vertical scale
here has been greatly exaggerated for clarity and aesthetics. Below is an accuratetoscale graph
of y = cos(x) showing several cycles with the ‘fundamental cycle’ plotted thicker than the others.
The...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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