Question

Select all that are asymptotes of the

tangent graph.
x = pi/4
x=pi/2
x=pi
x=3pi/2
x=3pi

Answer 1

`x = (\pi)/(2)`

`x = (3\pi)/(2)`

Explanation:

The tangent function is

`y = \tan(x)`

We can rewrite it as:

`y = ( \sin(x) )/( \cos(x) )`

This graph has vertical asymptotes at where the denominator is zero.

`\cos(x) = 0 \\ \implies \: x = (\pi)/(2) \: or \: (3\pi)/(2)`