Stitz-Zeager_College_Algebra_e-book

# First 3 we are not told whether or not x represents

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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

{[ snackBarMessage ]}

Ask a homework question - tutors are online