# How do you find vertical asymptote of tangent?

I assume that you are asking about the tangent function, so

Recall that

#theta=pi/2+n pi, n in ZZ# in radians or

#theta=90+180n, n in ZZ# for degrees.

To find the vertical asymptote of ANY function, we look for when the denominator is 0.

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To find the vertical asymptotes of the tangent function, we need to determine the values of x for which the tangent function is undefined. The tangent function is undefined at values of x where the cosine function is equal to zero. Therefore, the vertical asymptotes of the tangent function occur at x-values where the cosine function equals zero. These values can be found by solving the equation cos(x) = 0. The solutions to this equation are x = (2n + 1)π/2, where n is an integer. These values represent the vertical asymptotes of the tangent function.

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