Domain and Range
Domain: When k is all integers, x ≠ π/2 + πk
Range: (-∞, ∞)
Graph
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Table
|
X |
Y |
|
0 |
0 |
|
π/4 |
1 |
|
π/2 |
undefined |
|
3π/4 |
-1 |
|
π |
0 |
Description
In y = tan(x), the output is the sine function of the input divided by the cosine function of the input. Sine and cosine functions are both explained in more depth on their respective pages.
Characteristics
Concavity- The graph of y = tan(x) is concave down from (π/2+kπ,π+kπ], and concave up from (0+kπ,π/2+kπ).
Decreasing/Increasing- The graph of y = tan(x) is never decreasing but is increasing from (-π/2+kπ,π/2+πk).
Symmetry- The graph of y = tan(x) has odd symmetry because if rotated 180° around the origin, it would be the same graph.
Maximum: none
Minimum: none
Limits-
