**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...

View
Full
Document