The tangent function has vertical asymptotes because there are values of x for which cos(x) = 0, and thus the tangent function will be undefined for these values.
What are the vertical asymptotes of a function f(x)?
The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
Considering the sine and the cosine of an angle, the tangent function is given by:
tan(x) = sin(x)/cos(x).
Thus, when cos(x) = 0, tan(x) has vertical asymptotes.
More can be learned about vertical asymptotes at https://brainly.com/question/16948935
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