Since, the tangent function is undefined when . Therefore, the tangent function has a vertical asymptote whenever .
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Similarly, the tangent and sine functions each have zeros at integer multiples of because when .
The graph of a tangent function is looks lượt thích this:
Properties of the Tangent Function, .
Domain : , where is an integer.
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x -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.
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The period of a tangent function, , is the distance between any two consecutive vertical asymptotes.
Also see Trigonometric Functions .