Respuesta :
Using the vertical asymptote concept, it is found that the tangent function is undefined when [tex]\theta = \frac{\pi}{2}[/tex].
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.
In this problem, we have that:
[tex]\theta = \frac{\pi}{2}[/tex], which means that [tex]\cos{\theta} = 0[/tex].
Since [tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex], the tangent function is undefined when [tex]\theta = \frac{\pi}{2}[/tex].
More can be learned about vertical asymptotes at https://brainly.com/question/11598999
