Find the Equations of Vertical Asymptotes of Tangent, Cosecant, Secant, and Cotangent Functions

Practice Questions

Pre-Calculus › Find the Equations of Vertical Asymptotes of Tangent, Cosecant, Secant, and Cotangent Functions

Questions

Which of the following represents the asymptotes for the general parent function $\sec \left ( \theta \right )$ ?

Find the vertical asymptote of the equation.

$y=\frac{x^2-9}{x^2-16}$

Assume that there is a vertical asymptote for the function $tan(\theta -\frac{\pi }{6})$ at $\frac{5\pi }{3}$ , solve for from the equation of all vertical asymptotes at $tan(\theta -\frac{\pi }{6})$ .

True or false: There is a vertical asymptote for $\tan \left ( \theta \right )+10$ at $\frac{3\pi }{2}$

Given the function $\cot (\theta -\frac{\pi }{3})+5$ , determine the equation of all vertical asymptotes across the domain. Let be any integer.

Given the function $y=\csc (\theta +\frac{\pi }{2})$ , determine the equation of all vertical asymptotes across the domain. Let be any integer.

Which of the choices represents asymptote(s), if any? $y=\frac{2x^2+2x}{x^2-8x-9}$

Given the function $y=tan(\theta-\frac{\pi}{4})+2$ , determine the equation of all the vertical asymptotes across the domain. Let be an integer.

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