Domain and Range
Domain: When k is all integers, x ≠ π/2 + πk
Range: (-∞, -1] U [1, ∞)
Graph
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Table
|
X |
Y |
|
0 |
1 |
|
π/2 |
undefined |
|
π |
-1 |
|
3π/2 |
undefined |
|
2π |
1 |
Description
In y = sec(x), the output is 1 divided by the cosine of the input. To learn more about the cosine function, visit our cosine page!
http://graphstoknow.yolasite.com/cos-of-x.php
Characteristics
Decreasing/Increasing- The graph y = sec(x) is decreasing from [π+2kπ,3π/2+2kπ) U (3π/2+2kπ,2π+2kπ], and increasing from [0+2kπ,π/2+2kπ) U (π/2+2kπ,π+2kπ].
Symmetry- The graph of y = sec(x) has even symmetry because if reflected across the y-axis, it would be the same graph.
Maximum: none
Minimum: none
Limits-
