Domain and Range
Domain: When k is all integers, x ≠ π + πk
Range: (-∞, -1] U [1, ∞)
Graph
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Table
|
X |
Y |
|
0 |
undefined |
|
π/2 |
1 |
|
π |
undefined |
|
3π/2 |
-1 |
|
2π |
undefined |
Description
In y = csc(x), the output is 1 divided by the sine of the input. Sine is explained in further depth on its respective page.
Characteristic
Decreasing/Increasing- The graph y = csc(x) is decreasing from (-π/2+2kπ,0+2kπ) U (0+2kπ,π/2+2kπ), and increasing from (π/2+2kπ,π+2kπ) U (π+2kπ,3π/2+2kπ).
Symmetry- The graph of y = sin(x) has odd symmetry because if rotated 180° around the origin, it would be the same graph.
Maximum: none
Minimum: none
Limits-
