Graphing Tangent Function
Since, the tangent function is undefined when . Therefore, the tangent function has a vertical asymptote whenever .
Similarly, the tangent and sine functions each have zeros at integer multiples of because when .
The graph of a tangent function is looks like this:
Properties of the Tangent Function, .
Domain : , where is an integer.
-intercept : , where is an integer.
Symmetry: origin (odd function)
Amplitude and Period of a Tangent Function
The tangent function does not have an amplitude because it has no maximum or minimum value.
The period of a tangent function, , is the distance between any two consecutive vertical asymptotes.
Also see Trigonometric Functions .