Intercepts and Asymptotes of Tangent Functions - Concept

Concept Concept (1)

The tangent identity is tan(theta)=sin(theta)/cos(theta), which means that whenever sin(theta)=0, tan(theta)=0, and whenever cos(theta)=0, tan(theta) is undefined (dividing by zero). When the tangent function is zero, it crosses the x-axis. Therefore, to find the intercepts, find when sin(theta)=0. To find the vertical asymptotes determine when cos(theta)=0.

Sample Sample Problems (3)

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Intercepts and Asymptotes of Tangent Functions - Problem 1
Problem 1
How to find the zeros and vertical asymptotes of y = -2 tan(5x).
Intercepts and Asymptotes of Tangent Functions - Problem 2
Problem 2
How to find the zeros and vertical asymptotes of y = 1/3 tan(x*pi/2).
Intercepts and Asymptotes of Tangent Functions - Problem 3
Problem 3
How to find the zeros and vertical asymptotes of y = 6 tan(x/2 + pi/2).