Determine the equations of all vertical asymptotes of the graph of lying in the interval

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Determine the equations of all vertical asymptotes of the graph of

y=\tan x

lying in the interval

(-\tfrac{3\pi}{2},\,\tfrac{3\pi}{2})

, and hence state the number of complete periods of

y=\tan x

contained in this interval.